2x - 3y = 8 and we know that x = -2
So plug in -2 for x.
2(-2) - 3y = 8 *Multiply 2 and -2 together.
-4 - 3y = 8 *Add 4 to both sides so you can get y by itself on one side.
+4 +4
-3y = 12 *Now divide both sides by -3
/-3 /-3
y = -4 *After diving by -3 on both sides you get that y equals -4 (12/-3 = -4).
***Whenever solving for a variable, whether it be y or x or q or z, you are going to isolate the variable you are solving for and work from there to get your answer. You want to be able to get an answer like x= or y= or q= or z=.
x=1y=2x+3y=2*1 + 3y=5
2x-3y=13
2x - 3y = 62x = 3y + 63y = 2x - 6y = (2x - 6)/3y = (2/3)x - 2
2x+3y = 6 2x+3(0) = 6 2x = 6 x = 6/2 x = 3
2x-3y = 4 -3y = -2x+4 y = 2/3x-4/3 So the slope is 2/3 and the intercept is -4/3
x=1y=2x+3y=2*1 + 3y=5
2x - 3y = 6 2x = 6 + 3y 2x - 6 = 3y : 3y = 2x - 6 y = 2/3x - 2
2x-3y=13
2x - 3y = 62x = 3y + 63y = 2x - 6y = (2x - 6)/3y = (2/3)x - 2
2x+3y = 6 2x+3(0) = 6 2x = 6 x = 6/2 x = 3
Solve for y.2x - 3y = 52x - 2x - 3y = -2x + 5-3y = -2x + 5-3y/-3 = -2x/-3 + 5/-3y = (2/3)x - 3/5Clearly you see that the slope is 2/3.
2x + 3y = 12 y = -2/3 y + 4 slope is -2/3
2x+3y=13 3x-y=3 x=2
2x - 3y = -15x => -3y = -17x => -21y = -119x 2x - 3y = 4y => 2x = 7y => 21y = 6x so now you can add the two equations. 0 = -113x x=0 now plug back in 2*0 - 3y = -15*0 -3y = 0 y=0.
2. If x=5 & y =3 then: 3x + 2y = 3 x 5 + 2 x 3 = 15 + 6 = 21 2x + 3y = 2 x 5 + 3 x 3 = 10 + 9 = 19 ⇒ 3x+2y exceeds 2x+3y by 21 - 19 = 2. Alternatively: 3x+2y exceeds 2x+3y by: (3x+2y) - (2x + 3y) = 3x + 2y - 2x - 3y = x - y If x=5 & y=3 then this becomes: x - y = 5 - 3 = 2
2x-3y = 4 -3y = -2x+4 y = 2/3x-4/3 So the slope is 2/3 and the intercept is -4/3
Since 2x-3y=4y=8 we can say that 4y=8 therefor y=2 We can also say that 2x-3y=4y and as y=2 2x-6=8 so 2x=14 and x =7 so y=2 and x=7