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Solve the system by substitution.
y=2x
-3x + 8y =26

User Zomry
by
7.8k points

2 Answers

9 votes

Final answer:

To solve the system by substitution, substitute y=2x into the second equation. Simplify the equation and solve for x. Substitute the value of x back into the first equation to find y.

Step-by-step explanation:

To solve the system by substitution, we can start by substituting the value of y from the first equation into the second equation. Since y=2x, we can replace y in the second equation with 2x.

-3x + 8(2x) = 26

Simplifying the equation, we get -3x + 16x = 26. Combining like terms, it becomes 13x = 26. Dividing both sides by 13, we find x = 2.

Substituting the value of x back into the first equation, we get y = 2(2) = 4.

Therefore, the solution to the system of equations is x = 2 and y = 4.

User LachoTomov
by
8.1k points
8 votes

Answer:

if y = 2x then

-3x+8y=26

-3x + 8·2x= 26

-3x+16x=26

13x=26

x = 26/13= 2

User Evelie
by
7.6k points

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