Question

Y=x+32
Y=6x-13
Solve the system of equations

Answer 1

To solve the system of equations, we can set the two equations equal to each other:

x + 32 = 6x - 13

Next, we can isolate the x term by subtracting x from both sides:

32 = 5x - 13

Adding 13 to both sides gives:

45 = 5x

Finally, we can divide both sides by 5 to solve for x:

x = 9

To find the value of y, we can substitute the value of x back into either of the original equations. We will use the first equation:

y = 9 + 32 = 41

Therefore, the solution to the system of equations is x = 9 and y = 41.