Final answer:
To solve the system of equations 4x - 3y = 8 and 2x + y = 11, we can use the method of substitution. Plugging in the value of x into the second equation will give us the y-value of the solution, which is 2.8.
Step-by-step explanation:
To solve the system of equations 4x - 3y = 8 and 2x + y = 11, we can use the method of substitution or elimination. Let's use the method of substitution:
Step 1: Solve the second equation for y: y = 11 - 2x
Step 2: Substitute this value of y into the first equation: 4x - 3(11 - 2x) = 8
Step 3: Simplify the equation and solve for x:
4x - 33 + 6x = 8
10x - 33 = 8
10x = 41
x = 4.1
Step 4: Substitute the value of x into the second equation to find y: y = 11 - 2(4.1) = 11 - 8.2 = 2.8
Therefore, the y-value of the solution is 2.8.