Solve by the elimination method. Check your work.

Question

asked Oct 13, 2023 183k views

2 Answers

Insomniac · Answer 1 · 2023-10-14T04:28:07+0000

#1

(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

(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)

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

$\\ \tt\hookrightarrow x=5$

KiuQ · Answer 2 · 2023-10-18T22:44:40+0000

Answer:

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

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!