If 4x-2y=10 and 7x+2y=23 what is the value of x
Mathematics · High School · Tue Nov 03 2020
Answered on
Given the equations:
4x-2y=10 and 7x+2y=23
Determine the values of x
Solution:
In order to determine the values of x, we must solve for x in terms of y. We will solve the equations individually
4x - 2y = 10
Transpose -2y on the other side of the equation, note that when transposing a number the sign will always change.
4x = 10 + 2y
Divide both sides by 4 in order to find the value of x.
x = (10 + 2y )/ 4
Do the same for 7x + 2y = 23
7x = 23 - 2y
x = (23 - 2y)/7
Since the values of x differ, we can equate the two equations in one single solution in order to find the common value of x.
4x - 2y - 10 = 7x + 2y - 23
7x - 4x = -2y - 2y - 10 + 23
3x = -4y + 13
x = (-4y + 13) / 3