Question

2x+2y=10
x+5y=13

solve the following system of equations and explain​

Answer 1

`\sf \large \: x = 3 \: \: and \: \: y = 2`

Explanation:

Let's solve your system by substitution.

2x+2y=10;x+5y=13

Rewrite equations:

x+5y=13;2x+2y=10

Step: Solvex+5y=13for x:

x+5y=13

x+5y+−5y=13+−5y(Add -5y to both sides)

x=−5y+13

Step: Substitute−5y+13forxin2x+2y=10:

2x+2y=10

2(−5y+13)+2y=10

−8y+26=10(Simplify both sides of the equation)

−8y+26+−26=10+−26(Add -26 to both sides)

−8y=−16

−8y/−8=−16/−8

(Divide both sides by -8)

y=2

Step: Substitute2foryinx=−5y+13:

x=−5y+13

x=(−5)(2)+13

x=3(Simplify both sides of the equation)