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Explain Bot To find the values of x and y that satisfy the system of equations:
1) Start with the equation x - 2y = 4.
Rearrange the equation to solve for x:
x = 2y + 4.
2) Substitute this value of x into the second equation:
2(2y + 4) + 5y = 17.
3) Distribute and simplify the equation:
4y + 8 + 5y = 17.
Combine like terms:
9y + 8 = 17.
4) Isolate the variable by subtracting 8 from both sides of the equation:
9y = 17 - 8.
Simplify:
9y = 9.
5) Divide both sides of the equation by 9 to solve for y:
y = 1.
6) Now substitute the value of y back into the equation x = 2y + 4:
x = 2(1) + 4.
Simplify:
x = 2 + 4.
x = 6.
So the solution to the system of equations is x = 6, y = 1.