Question

Solve the system of equations below. (5 points)
x − y = 5
2x − 3y = 4

Answer 1

x=11 and y=6

Explanation:

I will solve your system by substitution.

(You can also solve this system by elimination.)

x−y=5;2x−3y=4

Step: Solvex−y=5for x:

x−y+y=5+y(Add y to both sides)

x=y+5

Step: Substitutey+5forxin2x−3y=4:

2x−3y=4

2(y+5)−3y=4

−y+10=4(Simplify both sides of the equation)

−y+10+−10=4+−10(Add -10 to both sides)

−y=−6

-y/-1 = -6/-1 (Divide both sides by -1)

y=6

Step: Substitute6foryinx=y+5:

x=y+5

x=6+5

x=11(Simplify both sides of the equation)

Answer:

x=11 and y=6