x-8y=18
-16x+16y=-8
x = 18 + 8y
Substitute the equivalent for x from this revised first equation into the second. Solve for y. Put the value of y into the first equation to solve for x. Check by putting both values into the second equation.
I hope this helps. Thanks for asking.
To find the solution to the system of equations:
x - 8y = 18 ----(1)
-16x + 16y = -8 ----(2)
One way to solve this system is by using the method of substitution. Here's how to do it step by step:
Step 1: Solve one of the equations for one variable in terms of the other. Let's solve equation (1) for x:
x = 18 + 8y ----(3)
Step 2: Substitute the value of x from equation (3) into equation (2):
-16(18 + 8y) + 16y = -8
Step 3: Simplify and solve for y:
-288 - 16y + 16y = -8
-288 = -8
Step 4: Since -288 does not equal -8, this implies that there is no solution to this system of equations. The equations lead to a contradiction, indicating that they represent parallel lines that do not intersect.
Therefore, the system of equations has no solution.