Question

In the following equations, x + y = 10 and x - y = 2, then the value of x and y are
a) 6 and 4
b) 4 and 6
c) 5 and 5
c) 7 and 3
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Answer 1

Step-by-step explanation:

Let's solve your system by substitution.

x+y=10 and x−y=2

Rewrite equations:

x+y=10;x−y=2

Step: Solvex+y=10for x:

x+y=10

x+y+−y=10+−y(Add -y to both sides)

x=−y+10

Step: Substitute−y+10forxinx−y=2:

x−y=2

−y+10−y=2

−2y+10=2(Simplify both sides of the equation)

−2y+10+−10=2+−10(Add -10 to both sides)

−2y=−8

−2y/−2=−8/−2(Divide both sides by -2)

y=4

Step: Substitute4foryinx=−y+10:

x=−y+10

x=−4+10

x=6(Simplify both sides of the equation)

Answer:

x=6 and y=4