Question

What values of x and y satisfy x + 2y = 6 and 2x + 3y = 4 simultaneously?

Answer 1

Use system of equations

Answer 2

https://www.khanacademy.org/math/algebra/systems-of-eq-and-ineq/fast-systems-of-equations/v/systems-of-equations

Answer 3

are you familiar with the substitution method ?

Answer 4

x + 2y = 6 ----> x = -2y + 6
now sub -2y + 6 in for x in the other equation
2x + 3y = 4
2(-2y + 6) + 3y = 4 -- distribute through the parenthesis
-4y + 12 + 3y = 4 -- subtract 12 from both sides
-4y + 3y = 4 - 12 -- combine like terms
-y = - 8 -- multiply entire equation by -1 to make y positive
y = 8
now sub 8 in for y in either of the equations to find x
x + 2y = 6
x + 2(8) = 6
x + 16 = 6
x = 6 - 16
x = -10
check ...
2x + 3y = 4
2(-10) + 3(8) = 4
-20 + 24 = 4
4 = 4 (correct)

x = -10 and y = 8

Answer 5

do you have any questions ? Any at all ?