Question

Which of the following is a solution to the system of linear equations below? 2x=-3y-11 2y=6x-22

Answer 1

A.

(2, 5)


B.

(–2, 5)


C.

(2, –5)


D.

(–2, –5)

Answer 2

Solve the following system:
2 x = -11-3 y
2 y = 6 x-22
Express the system in standard form:
2 x+3 y = -11
-(6 x)+2 y = -22
Swap equation 1 with equation 2:
-(6 x)+2 y = -22
2 x+3 y = -11
Add \(\large \frac{1}{3} ×\) (equation 1) to equation 2:
\[\large -(6 x)+2 y = -22 \]\[\large 0 x+\frac{11 y}{3} = -\frac{55}{3}\]Divide equation 1 by 2:
-(3 x)+y = -11
0 x+(11 y)/3 = -55/3
Multiply equation 2 by \(\large \frac{3}{11}\):
\[\large -(3 x)+y = -11 \]\[\large 0 x+y = -5 \]Subtract equation 2 from equation 1:
\[\large -(3 x)+0 y = -6 \]\[\large 0 x+y = -5 \]Divide equation 1 by -3:
\[\large x+0 y = 2 \]\[\large 0 x+y = -5 \]Collect results:

Answer 3

now find x by substituting the value of y in any equation...