Final answer:
Using substitution, the x-value that satisfies the given system of equations is 7.
Step-by-step explanation:
To find the x-value for the system of equations 3x+5y=11 and y=-4x+26, we need to solve for x by substitution or elimination. Given the second equation, we can substitute the value of y into the first equation.
- Substitute y = -4x + 26 into the first equation:
- 3x + 5(-4x + 26) = 11
- Expand and simplify: 3x - 20x + 130 = 11
- Combine like terms: -17x + 130 = 11
- Subtract 130 from both sides: -17x = -119
- Divide by -17: x = 7
The x-value that satisfies both equations in the system is 7.