what is the substitution for 4x-3y=-19
Mathematics · Middle School · Tue Nov 03 2020
Answered on
Given:
4x -3y = -19
Determine the substitution.
Solution:
We can determine the substitution in terms of x or in terms of y. To do so, for x, we solve for x in terms of y, and for y, we solve for y in terms of x. This may sound confusing but it can be understand easily by stating it in an equation.
Solve for x.
4x -3y = -10
Transpose -3y on the other side of the equation, note that when transposing a number, the sign changes.
4x = -10 + 3y
Divide both sides by 4 in order to get the value of x.
4x/4 = (-10 + 3y)/4
x = (-10 + 3y)/4
Solve for y.
4x - 3y = -10
In order to solve for y, we transpose -3y and -10 to the opposite sides of the equation.
3y = 4x + 10
Divide both sides by 3 in order to get the value of y.
3y/3 = (4x + 10)/3
y = (4x + 10)/3
Final answer:
x = (-10 + 3y)/4
y = (4x + 10)/3