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Chapter 4: Q. 4.22 (page 383)

Solve each system by elimination:x+35y=-15-12x-23y=56

Short Answer

Expert verified

The value ofx,yare1,-2respectively

Step by step solution

01

Given information

Given the system of equationsx+35y=-15-12x-23y=56

02

 Isolate the value of x

The value on isolating xis x=-15-35y. Substituting in other equation, we get

-12-15-35y-23y=56

3-11y30=56

03

Solve for y

On solving, we get

3-11y30=56

y=-2

Substituting value to calculate x, we get

x=-15-35(-2)x=1

04

Checking the value

Substituting, we get

1+35(-2)=-151-65=-15-15=-15

05

Checking the value

Substituting, we get

-12(1)-23(-2)=56-12+43=5656=56

So the value is correct

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Most popular questions from this chapter

Solve the system of equations by substitution and explain all your steps in words:

3x+y=12x=y-8

To decide whether it would be more convenient to solve the system of equations by substitution or

elimination.

(a)14x-15y=-307x+2y=10(b)x=9y-112x-7y=-27

Solve the system of equations by substitution

4x+y=10x-2y=-20

Solve the system of equations by elimination and explain all your steps in words:

5x+4y=102x=3y+27

The sum of two numbers is 37.

Their difference is 9. Find the

numbers.
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