Use a proportion:
Yardstick is 3 feet long
x+5y=4
Solve by elimination
The solution to the system of equation 4x - 9y = -42 and x + 5y = 4 is x = -6 and y = 2.
Given the system of equations in the question:
4x - 9y = -42
x + 5y = 4
To solve the system of equations using the elimination method, first multiply the second equation by 4:
4[ x + 5y = 4 ] → 4x + 20y = 16
Hence, we have:
4x - 9y = -42
4x + 20y = 16
Subtract the first equation from the second equation to eliminate 4x:
0 - 29y = -58
29y = 58
y = 58/29
y = 2
Plug y = 2 into equation 2 and solve for x;
x + 5y = 4
x + 5(2) = 4
x + 10 = 4
x = 4 - 10
x = -6
Therefore, the value of x is -6 and y is 2.
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Answer:
x = -6 and y = 2
Step-by-step explanation:
4x-9y = -42
x+5y = 4
4x-9y = -42
4x + 20y = 16
Take them away from each other.
-29y = -58
Find what one y is by dividing.
-58 / -29 = 2
y = 2
Substitute back into original.
x + 10(5*y) = 4
Take 10 away to find x.
x = -6
Check if answer is correct.
4x - 9y = -42
-24 - 18 = -42
Final Answer: x = -6 and y = 2
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