Math

QuestionSolve the equation for y: 2x+5y=10-2 x + 5 y = -10.

Studdy Solution

STEP 1

Assumptions1. The equation is linear in two variables, x and y. . We need to solve for y in terms of x.

STEP 2

The given equation is 2x+5y=10-2x +5y = -10. We can start solving for y by first isolating the term with y on one side of the equation. We can do this by adding 2x2x to both sides of the equation.
2x+5y+2x=10+2x-2x +5y +2x = -10 +2x

STEP 3

implify the equation.
5y=2x105y =2x -10

STEP 4

Now, we can solve for y by dividing every term by.
y=2x10y = \frac{2x -10}{}

STEP 5

implify the right side of the equation by dividing each term by5.
y=25x2y = \frac{2}{5}x -2So, the solution to the equation 2x+5y=10-2x +5y = -10 is y=25x2y = \frac{2}{5}x -2.

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