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Solve the system of equations. What is they-value? 2x + 3y = 10 x + 5y = 26

User Makson
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Final answer:

To solve the system of equations, we can use the method of elimination. By multiplying the second equation by 2 and subtracting the first equation, we find that the y-value is 6.

Step-by-step explanation:

To solve the system of equations 2x + 3y = 10 and x + 5y = 26, we can use the method of substitution or elimination. Let's use the method of elimination.

First, multiply the second equation by 2 to make the coefficients of x in both equations the same:

2(x + 5y) = 2(26)
2x + 10y = 52

Next, subtract the first equation from the modified second equation:

(2x + 10y) - (2x + 3y) = 52 - 10
7y = 42

Divide both sides of the equation by 7 to solve for y:

y = 42/7
y = 6

Therefore, the y-value is 6.

User Andy Quiroz
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