find the value of x and y
x+y=12
45x+52y=561
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To find the values of x and y that satisfy the given equations, we can solve the system of equations using the method of substitution or elimination.
Let's solve it using the method of substitution:
1. Start with the first equation: x + y = 12
2. Solve this equation for x in terms of y by subtracting y from both sides: x = 12 - y
3. Substitute this expression for x in the second equation: 45(12 - y) + 52y = 561
4. Simplify the equation: 540 - 45y + 52y = 561
5. Combine like terms: 7y = 21
6. Divide both sides by 7: y = 3
7. Substitute this value of y back into the first equation to find x: x + 3 = 12
8. Solve for x: x = 12 - 3 = 9
So, the values of x and y that satisfy the equations are x = 9 and y = 3.