QuestionJuly 15, 2025

If x=5y-1 and 2x+5y=-32 what is the value of y? y= square

If x=5y-1 and 2x+5y=-32 what is the value of y? y= square
If x=5y-1 and 2x+5y=-32 what is the value of y?
y=
square

Solution
4.4(323 votes)

Answer

y = -2 Explanation 1. Substitute x in the second equation Given x = 5y - 1, substitute into 2x + 5y = -32: 2(5y - 1) + 5y = -32. 2. Simplify and solve for y Expand: 10y - 2 + 5y = -32. Combine like terms: 15y - 2 = -32. Add 2 to both sides: 15y = -30. Divide by 15: y = -2.

Explanation

1. Substitute $x$ in the second equation<br /> Given $x = 5y - 1$, substitute into $2x + 5y = -32$: <br /> $2(5y - 1) + 5y = -32$.<br /><br />2. Simplify and solve for $y$<br /> Expand: $10y - 2 + 5y = -32$.<br /> Combine like terms: $15y - 2 = -32$.<br /> Add 2 to both sides: $15y = -30$.<br /> Divide by 15: $y = -2$.
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