solve each system of equation be substitution or elimination
1) 4x+6y=170
3x+8y=180
2)5x+2y=4
3y-4x=-40
1) 4x+6y=170
3x+8y=180
2)5x+2y=4
3y-4x=-40
-
4x+6y=170
3x+8y=180
3(4x+6y=170)
-4(3x+8y=180)
12x+18y=510
-12x-32y=-720
----------------------
-14y=-210
y=-210/14
y=15
if y=15 then x= 4x+90=170 4x=80 x=20
5x+2y=4
3y-4x=-40
5x+2y=4
-4x+3y=-40
-----------------------
-3(5x+2y=4)
2(-4x+3y=-40)
-15x-6y=-12
-8x+6y=-80
----------------------
-23x=-92
x=4 if x=4 then y=-8
3x+8y=180
3(4x+6y=170)
-4(3x+8y=180)
12x+18y=510
-12x-32y=-720
----------------------
-14y=-210
y=-210/14
y=15
if y=15 then x= 4x+90=170 4x=80 x=20
5x+2y=4
3y-4x=-40
5x+2y=4
-4x+3y=-40
-----------------------
-3(5x+2y=4)
2(-4x+3y=-40)
-15x-6y=-12
-8x+6y=-80
----------------------
-23x=-92
x=4 if x=4 then y=-8
-
They're both candidates for the elimination method:
1) 4x+6y=170
3x+8y=1
Multiply through the first equation by 3 and the second by 4 to match the x coefficients:
12x + 18y = 510
12x + 24y = 720
Subtract the first one from the second:
12x + 24y = 720
-(12x + 18y = 510)
------------------------
6y = 210
y = 35
Substitute 35 for y in either original equation to solve for x.
2)5x+2y=4
3y-4x=-40
Rewrite the second equation into the same form as the first one:
5x + 2y = 4
-4x + 3y = -40
Follow the process above multiplying equation 1 by 4 and equation 2 by 5 to match the x coefficients. Then add the equations to eliminate x and solve for y.
1) 4x+6y=170
3x+8y=1
Multiply through the first equation by 3 and the second by 4 to match the x coefficients:
12x + 18y = 510
12x + 24y = 720
Subtract the first one from the second:
12x + 24y = 720
-(12x + 18y = 510)
------------------------
6y = 210
y = 35
Substitute 35 for y in either original equation to solve for x.
2)5x+2y=4
3y-4x=-40
Rewrite the second equation into the same form as the first one:
5x + 2y = 4
-4x + 3y = -40
Follow the process above multiplying equation 1 by 4 and equation 2 by 5 to match the x coefficients. Then add the equations to eliminate x and solve for y.
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These are simultaneous leaner equation and there are many methods to solve them but are easy ....but are quit long to do the working here sorry ...! :(