Final answer:
After rearranging the second equation to solve for x and substituting it into the first equation, we solve for y, and then use that value to find x. The solution to the system is x = -5 and y = 5.
Step-by-step explanation:
To solve the system of equations, first, we need to organize the given equations properly. Unfortunately, there seems to be a typo in the question, but let's assume the system of equations is:
- Equation 1: x + 4y = 15
- Equation 2: 2x - y = -15
Solve the simultaneous equations for the unknowns. This typically involves multiple algebraic steps, such as substitution or elimination method. In this case, let's use the substitution method:
- Rearrange Equation 2 for x, giving us x = (-15 + y)/2.
- Substitute x in Equation 1 with the expression found in step 1:
[(−15 + y)/2] + 4y = 15
Multiplying through by 2 to eliminate the fraction gives us:
−15 + y + 8y = 30
Combine like terms:
9y = 45
Divide by 9:
y = 5
To find the value of x, substitute y back into Equation 2:
2x - 5 = -15
Add 5 to both sides:
2x = -10
Divide by 2:
x = -5
The solution to the system of equations is x = -5 and y = 5.