Chapter 11: Q. 315 (page 1159)

In the following exercises, solve the system of equations by using substitution.
$y = x^{2} + 3 y = - 2 x + 2$

Short Answer

Expert verified

Solution for the system of equations

$x = - 1 y = 4$

Step by step solution

Given information

System of equations

$y = x^{2} + 3 y = - 2 x + 2$

Substitution method

$y = x^{2} + 3 y = - 2 x + 2$

Substitute y =-2x+2 in first equation

$- 2 x + 2 = x^{2} + 3 A d d 2 x a n d s u b t r a c t 2 f r o m b o t h s i d e s 0 = x^{2} + 3 + 2 x - 2 0 = x^{2} + 2 x + 1 0 = (x + 1) (x + 1) x + 1 = 0 x = - 1$

Substitute x value

substitute x=-1 in the second equation

$y = - 2 x + 2 y = - 2 (- 1) + 2 y = 4$

Step 4:

solution for the given system of equations

$x = - 1, y = 4$

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In the following exercises, solve the system of equations by using substitution.
$y = x^{2} + 3 y = - 2 x + 2$

Short Answer

Step by step solution

Given information

Substitution method

Substitute x value

Step 4:

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In the following exercises, solve the system of equations by using substitution.y=x2+3y=-2x+2

Short Answer

Step by step solution

Given information

Substitution method

Substitute x value

Step 4:

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Pure Maths

Statistics

Theoretical and Mathematical Physics

Decision Maths

Applied Mathematics

Calculus

Study anywhere. Anytime. Across all devices.

In the following exercises, solve the system of equations by using substitution.
$y = x^{2} + 3 y = - 2 x + 2$