Solve by the substitution method.
9x + 5y = 2
-3x + y = 10
What is the solution of the system?_______
type an ordered pair.
2007-05-16 22:21:01 · 6 answers · asked by Anonymous in Science & Mathematics ➔ Mathematics
First, solve one equation for one variable...
-3x + y = 10
y = 3x + 10
Now, put that into the other equation.
9x + 5y = 2
9x + 5(3x + 10) = 2
9x + 15x + 50 = 2
24x = -48
x = -2
Now, put that back into one of the equations to find the missing variable...
y = 3x + 10
y = 3(-2) + 10
y = 4
The solution is (-2, 4)
2007-05-16 22:26:17 · answer #1 · answered by Mathematica 7 · 0⤊ 0⤋
9x+5y=2
-3x+y=10
therefore, y=10+3x
subsitute the value of y in first equation
9x+5(10+3x)=2
9x+50+15x=2
24x=2-50
24x=-48
x=-2
put the value of x in 2nd equation
-3(-2)+y=10
6+y=10
y=4
2007-05-17 05:30:14 · answer #2 · answered by DAN G 1 · 0⤊ 0⤋
First, solve one equation for one variable...
-3x + y = 10
y = 3x + 10
Now, put that into the other equation.
9x + 5y = 2
9x + 5(3x + 10) = 2
9x + 15x + 50 = 2
24x = -48
x = -2
Now, put that back into one of the equations to find the missing variable...
y = 3x + 10
y = 3(-2) + 10
y = 4
The solution is (-2, 4)
2007-05-17 05:32:09 · answer #3 · answered by kk kk kk 2 · 0⤊ 0⤋
9x +5y=2
-3x+y=10
therefore by solving 2 equation
y=3x+10 .....3
therefore substituting it in 1 equ
9x+5(3x+10)=2
9x+15x+50=2
24x=2-50
x=-48/24
x=-2
substituting in equ.3
y=3*-2+10
y=-6+10
y=4
2007-05-17 06:11:46 · answer #4 · answered by neha 1 · 0⤊ 0⤋
9x + 5y = 2
-3x + y = 10
pick one to solve for a variable.
in this case i chosed. -3x + y = 10
-3x + y = 10
y=3x+10
now plug it back in to top eqn.
9x+5(3x+10)=2
solve for x, then plug back into bottom eqn and solve for y
easy right!!?
2007-05-17 05:28:31 · answer #5 · answered by electric 3 · 0⤊ 0⤋
y = 3x + 10
9x + 15x + 50 = 2
24x = - 48
x = - 2
y = - 6 + 10 = 4
x = - 2, y = 4
2007-05-17 06:06:01 · answer #6 · answered by Como 7 · 0⤊ 0⤋