Solving Systems of Equations By Substitution

Slides:



Advertisements
Similar presentations
WARM UP 1. Explain how to graph a linear equation written in slope-intercept form. 2. Explain how to graph a linear equation written in point-slope form.
Advertisements

Solving Equations = 4x – 5(6x – 10) -132 = 4x – 30x = -26x = -26x 7 = x.
Cover Sheet Cut and discard this bottom portion. Click Here to Replace and add your title To insert a picture: Click on Insert – Clip Art.
Equations & Brackets.. You are now going to solve more complex equations by combining together two ideas that you have seen already. Try the following.
Chapter 7 – Solving Systems of Linear Equations
CHAPTER 7-1 SOLVING SYSTEM OF EQUATIONS. WARM UP  Graph the following linear functions:  Y = 2x + 2  Y = 1/2x – 3  Y = -x - 1.
Warm Up Identify the slope and y-intercept 1. -3x + 5y = 9 Graph the equation x + 4y = x + 7y = 7.
Substitute 0 for y. Write original equation. To find the x- intercept, substitute 0 for y and solve for x. SOLUTION Find the x- intercept and the y- intercept.
Substitute 0 for y. Write original equation. To find the x- intercept, substitute 0 for y and solve for x. SOLUTION Find the x- intercept and the y- intercept.
Using the formula sheet Equations typically contain one or more letters These letters are called variables Variables : an unknown in an equation EXAMPLE:
Warm Up. Literal Equations  Literal equations have more than one type of variable  Examples: Geometry Formulas.
Warm up Simplify: -(2x + 3) + 4(x + 2) A – 2 – ( 3 + a) Solve: 13m – 22 = 9m -6.
Solving by Elimination Example 1: STEP 2: Look for opposite terms. STEP 1: Write both equations in Standard Form to line up like variables. STEP 5: Solve.
Section 5.3 Solving Systems of Equations Using the Elimination Method There are two methods to solve systems of equations: The Substitution Method The.
Solve Equations like… - 2(6 – 3m) = m Write in words the steps to solve this equation: r + 31 =−2(6r + 4) Write down this problem on your READY.
Solve Equations with Rational Coefficients. 1.2x = 36 Check your answer = x Check 1.2x = (30) = 36 ? 36 = 36 ? 120 = -0.24y
Warm Up 04/01 Practice CRCT Problem: Solve the following system of equations using the substitution method: 2x − 3y = − 1 y = x − 1.
Warm up Problem A rectangle is bounded by the x-axis and the semicircle. What are the dimensions of the rectangle with the largest area?
Example of a Constructed Response 9 children were in the class. How many were girls and how many were boys? Solve the problem. Write the equation. Draw.
Algebra Review. Systems of Equations Review: Substitution Linear Combination 2 Methods to Solve:
SOLVING SYSTEMS OF EQUATIONS BY SUBSTITUTION PRACTICE PROBLEMS.
Mathsercise-C Graphs 1 Ready? Here we go!. Graphs 1 Complete this grid for the function y = 3x x y Answer Question 2 Substitute each.
Textbook pages 69 & 73 IAN pages 91 & 95. Each side of the equation must be balanced. We balance an equation by doing the same thing to both sides of.
Warm Up Find the solution to linear system using the substitution method. 1) 2x = 82) x = 3y - 11 x + y = 2 2x – 5y = 33 x + y = 2 2x – 5y = 33.
Find each value in simplified radical form. a) b)
7.3 Solving Equations Using Quadratic Techniques
Mathsercise-C Ready? Inequalities Here we go!.
Solving System of Linear Equations
One-Step Equations with Subtraction
Warm-Up Solve the system by substitution..
Solve the following Equations Show your work
Solving Systems of Equations
Writing Linear Equations When Given a Point and the Slope
What Shapes Can You See in this Picture?
Solve a system of linear equation in two variables
Solving Systems of Equations by Elimination
Taken out of context A Practice Understanding Task
SYSTMES OF EQUATIONS SUBSTITUTION.
Solving Two-Step Equations
Lesson 1.3 Algebra 3 Objectives:
Solving Systems of Equations by Substitution
USING GRAPHS TO SOLVE EQUATIONS
Writing Linear Equations When Given Two Points on the Line
Maintenance Sheet 18 Due Tomorrow
Solving Two-Step Equations
Solve for x: log3x– log3(x2 – 8) = log38x
Solving One and Two Step Equations
Algebra 2 Ch.3 Notes Page 15 P Solving Systems Algebraically.
Using Slope Intercept Form to Graph Day 2
Graphing Systems of Equations Day 2
Warm-up August 28, 2017 Solve all (and graph number 1): 12 + (-5) =
10/10/ Bell Work Write and answer the following questions.
Power point goes with ½ 2 step equations worksheet
Who Wants to Win a Million?
Warm-up: Solve the system:
Warm-Up Solve the system by graphing..
Warm Up Solve by graphing Solve by substitution.
Solving Systems of Equations by Substitution
“I can write an equation of a line, given two points on the line.”
Finding the Inverse Matrix Day 2
One-Step Equations with Addition and Subtraction
Using Slope Intercept Form to Graph Day 2
K.OA.4 For any number 1 to 9, find the number that makes 10 when added to the given number. Students may use objects or drawings and should record answers.
Warm up 4/30/2013.
Writing Equations of Parallel and Perpendicular Lines
The Identity and Inverse Matrices
Determinants Get out your notes and be ready to complete a warm-up on your new purple sheet.
Solving By Substitution
Warm- Up: Solve by Substitution
WARM UP 3 WRITING EQUATIONS Write in slope-intercept form the equation of the line that passes through the given point and has the given slope. (Lesson.
Presentation transcript:

Solving Systems of Equations By Substitution Get out your notes and your Purple Sheet and get ready for a Warm-Up!

Warm-Up Solve the following systems by substitution −7𝑥+4𝑦=−18 −4𝑥+5𝑦=10 𝑦=6 𝑦=3𝑥+13

Solve the System by Substitution 𝑥+3𝑦=−1 2𝑥+6𝑦=−2 Special Case Example 1 Solve the System by Substitution 𝑥+3𝑦=−1 2𝑥+6𝑦=−2

Solve the System by Substitution 6𝑥−2𝑦=−5 −3𝑥+𝑦=−1 Special Case Example 2 Solve the System by Substitution 6𝑥−2𝑦=−5 −3𝑥+𝑦=−1

Activity Solve the system of equations and find the letter that goes with your answer at the bottom of the back of the page. Draw the shape next to the problem in the box with that letter. Once you finish all the problems, it will make a complete picture. Not all the answers and letters will be used.

Solve the System of Equations by Substitution 7𝑥−𝑦=−13 5𝑥+𝑦=−23 Closure Solve the System of Equations by Substitution 7𝑥−𝑦=−13 5𝑥+𝑦=−23