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.