Respuesta :
(17/8, -1/8) or if you want it in decimals (2.125, -0.125)
2x-6y=5
x+y=2 y=2-x
2x-6(2-x)=5
2x-12+6=5
8x-12=5
8x=17
x=17/8
(17/8)+y=2 You plug in the x-value to find the y-value now
y=2-17/8
y=-1/8
2x-6y=5
x+y=2 y=2-x
2x-6(2-x)=5
2x-12+6=5
8x-12=5
8x=17
x=17/8
(17/8)+y=2 You plug in the x-value to find the y-value now
y=2-17/8
y=-1/8
Equation 1) 2x - 6y = 5
Equation 2) x + y = 2
Multiply all of equation 2 by 2.
2) 2(x + y = 2)
2) 2x + 2y = 4
1) 2x - 6y = 5
Subtract equations from one another.
8y = -1
Divide both sides by 8.
y = -1/8
Plug in -1/8 for x in the first equation.
2x - 6y = 5
2x - 6(-1/8) = 5
Simplify.
2x + 3/4 = 5
Subtract 3/4 from both sides.
2x = 5 - 3/4
Simplify.
2x = 4 1/4
Divide both sides by 2.
x = 17/8 OR 2 1/8
~Hope I helped!~
Equation 2) x + y = 2
Multiply all of equation 2 by 2.
2) 2(x + y = 2)
2) 2x + 2y = 4
1) 2x - 6y = 5
Subtract equations from one another.
8y = -1
Divide both sides by 8.
y = -1/8
Plug in -1/8 for x in the first equation.
2x - 6y = 5
2x - 6(-1/8) = 5
Simplify.
2x + 3/4 = 5
Subtract 3/4 from both sides.
2x = 5 - 3/4
Simplify.
2x = 4 1/4
Divide both sides by 2.
x = 17/8 OR 2 1/8
~Hope I helped!~