Question

Solve the following system by Substitution:
y=2x
3x + y = 10

Answer 1

x=2 and y=4

Explanation:

Let's solve your system by substitution.

y=2x and 3x+y=10

Rewrite equations:

y=2x;3x+y=10

Step: Solvey=2xfor y:

y=2x

Step: Substitute2xforyin3x+y=10:

3x+y=10

3x+2x=10

5x=10(Simplify both sides of the equation)

5x/5=10/5

(Divide both sides by 5)

x=2

Step: Substitute 2 for x in y=2x:

y=2x

y=(2)(2)

y=4 (Simplify both sides of the equation)

answer:x=2 and y=4

Answer 2

(2, 4 )

Explanation:

y = 2x → (1)

3x + y = 10 → (2)

substitute y = 2x into (2)

3x + 2x = 10

5x = 10 ( divide both sides by 5 )

x = 2

Substitute x = 2 into (1)

y = 2 × 2 = 4

solution is (2, 4 )