Question

PLEASE OMG HELP ME IM GONNA HAVE A MENTAL BREAKDOWN IF NO ONE ANSWERS AND SHOWS THEIR WORK THIS IS DUE IN LIKE 5 MINS IM BEGGING U HELP ME

question: solve the solution using substitution.

Answer 1

Rewrite equations:

2x+y=6;2x+3y=−18

Step: Solve 2x+y=6 for y:

2x+y=6

2x+y+−2x=6+−2x(Add -2x to both sides)

y=−2x+6

Step: Substitute−2x+6for y in2x+3y=−18:

2x+3y=−18

2x+3(−2x+6)=−18

−4x+18=−18(Simplify both sides of the equation)

−4x+18+−18=−18+−18(Add -18 to both sides)

−4x=−36

−4x

−4

=

−36

−4

(Divide both sides by -4)

x=9

Step: Substitute9 for x in y=−2x+6:

y=−2x+6

y=(−2)(9)+6

y=−12(Simplify both sides of the equation)

Answer:

x=9 and y=−12