Respuesta :
x+4y=3 subtract 4y from both sides
x=3-4y
2x-3y=17, using x found above becomes:
2(3-4y)-3y=17 perform indicated multiplication on left side
6-8y-3y=17 combine like terms on left side
6-11y=17 subtract 6 from both sides
-11y=11 divide both sides by -11
y=-1, using this y in x+4y=3 becomes:
x+4(-1)=3
x-4=3 add 4 to both sides
x=7
So the solution to the system of equation is the point (7, -1)
x=3-4y
2x-3y=17, using x found above becomes:
2(3-4y)-3y=17 perform indicated multiplication on left side
6-8y-3y=17 combine like terms on left side
6-11y=17 subtract 6 from both sides
-11y=11 divide both sides by -11
y=-1, using this y in x+4y=3 becomes:
x+4(-1)=3
x-4=3 add 4 to both sides
x=7
So the solution to the system of equation is the point (7, -1)
Equation 1) x + 4y = 3
Equation 2) 2x - 3y = 17
Multiply ALL of equation 1 by 2 so that both equations have (2x) in it.
1) 2(x + 4y = 3)
Simplify.
1) 2x + 8y = 6
2) 2x - 3y = 17
Subtract equations from one another.
11y = -11
Divide both sides by 11.
y = -1
Plug in -1 for y in the first equation.
x + 4y = 3
x + 4(-1) = 3
Simplify.
x - 4 = 3
Add 4 to both sides.
x = 7
x = 7, y = -1
~Hope I helped!~
Equation 2) 2x - 3y = 17
Multiply ALL of equation 1 by 2 so that both equations have (2x) in it.
1) 2(x + 4y = 3)
Simplify.
1) 2x + 8y = 6
2) 2x - 3y = 17
Subtract equations from one another.
11y = -11
Divide both sides by 11.
y = -1
Plug in -1 for y in the first equation.
x + 4y = 3
x + 4(-1) = 3
Simplify.
x - 4 = 3
Add 4 to both sides.
x = 7
x = 7, y = -1
~Hope I helped!~