Determine the value of x.. i will give brainliest
1 answer:
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Answer:
Smaller Number = 10
Larger Number = 33
Step-by-step explanation:
Let the smaller number be "x" and the larger number be "y"
5 TIMES smaller is SUBTRACTED from TWICE larger, the result is 16, we can write:
2y - 5x = 16
and
Larger increased by 3 TIMES SMALLER, result is 63, so we can write:
y + 3x = 63
We can write this in terms of x, as:
y = 63 - 3x
Now we put this in equation 1 and solve for x first:
2y - 5x = 16
Now,
y = 63 - 3x
y = 63 - 3(10)
y = 63 - 30
y = 33
Smaller Number = 10
Larger Number = 33
9514 1404 393
Answer:
(x, y) = (2, -6)
Step-by-step explanation:
Subtract the first equation from the second.
(8x -2y) -(5x -2y) = (28) -(22)
3x = 6
x = 2
Substitute this into either equation and solve for y.
8(2) -2y = 28
8 -y = 14 . . . . . . . . divide by 2
y = 8 -14 = -6 . . . . add y-14 to both sides
The solution is (x, y) = (2, -6).
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