Question

Solve by the elimination method. Check your work.

Answer 1

Answer:

1: x = 19 y = 16 ; 2. x = 5 y = -4

Step-by-step explanation:

To check your work plug the numbers back into one of the equations and see if it's true.

For example:
10(19)-9(16)=46

46=46

1. I distributed 3 to all the numbers so that 9y and -9y would cancel then you add like terms.

2. I distributed -4 to all the numbers so that 4x and -4x would cancel. Then add all like terms.

Once you get x or y plug it back into one problem to get the other variable.

Hope this helps!

Answer 2

#1

• 10x-9y=46--(1)
• -2x+3y=10--(2)

(2)×3

$\\ \tt\hookrightarrow -6x+9y=30$--(3)

Subtracting eq(1) from (3)

$\\ \tt\hookrightarrow -16x=-16$

$\\ \tt\hookrightarrow x=1$

Put in eq(2)

$\\ \tt\hookrightarrow -2+3y=10$

$\\ \tt\hookrightarrow y=4$

#2

• 4x+3y=8--(1)
• x-2y=13--(2)

(2) ×4

$\\ \tt\hookrightarrow 4x-8y=52--(3$

Subtracting eq(1) from (3)

$\\ \tt\hookrightarrow -11y=44$

$\\ \tt\hookrightarrow y=-4$

Put in eq(2)

$\\ \tt\hookrightarrow x+8=13$

$\\ \tt\hookrightarrow x=5$