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
x + 8y = 3 therefore 2x + 16y = 6 (a) 2x + 3y = -7 (b) Subtract (b) from (a): 13y = 13 so y = 1 and x = -5
1) 2x + 4y = -62) x -3y = 7We can add 3y to both sides of equation 2) to getx = 3y + 7Now we can substitute 3y + 7 for x in equation 1).In other words, we replace any 'x'es in equation 1) with 3y + 7.2x is two times x, so this becomes 2(3y + 7) which is two times 3y_and_sevenEquation 1) becomes2(3y + 7) + 4y = -6or6y + 14 + 4y = -6or10y + 14 = -6Subtracting 14 from both sides,10y = -20Dividing both sides by 10,y = -2.Substituting -2 for y in equation 1),2x - 8 = -6Add 8 to both sides2x = 2x = 1Check our results with equation 2x - 3y = 71 + 6 = 7
{-4,-5}
7
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
x + 8y = 3 therefore 2x + 16y = 6 (a) 2x + 3y = -7 (b) Subtract (b) from (a): 13y = 13 so y = 1 and x = -5
1) 2x + 4y = -62) x -3y = 7We can add 3y to both sides of equation 2) to getx = 3y + 7Now we can substitute 3y + 7 for x in equation 1).In other words, we replace any 'x'es in equation 1) with 3y + 7.2x is two times x, so this becomes 2(3y + 7) which is two times 3y_and_sevenEquation 1) becomes2(3y + 7) + 4y = -6or6y + 14 + 4y = -6or10y + 14 = -6Subtracting 14 from both sides,10y = -20Dividing both sides by 10,y = -2.Substituting -2 for y in equation 1),2x - 8 = -6Add 8 to both sides2x = 2x = 1Check our results with equation 2x - 3y = 71 + 6 = 7
{-4,-5}
7
If 2x - 3y = 7, -3 y = 7 - 2x or y = (2x - 7)/3, or y = (2/3)x - (7/3). The slope is 2/3 and the y-intercept is -(7/3).
(5, 1)
X equals 1 and so does Y
2x - 3y = -4 3x + 2y = 33 Eqn(1)*2: 4x - 6y = -8 Eqn(2)*3: 9x + 6y = 99 Add the eqns: 13x = 91 so that x = 7 Substitute in eqn1: 14 - 3y = -4 so that 18 = 3y or y = 6 SOLUTION: x = 7, y = 6
2x-6=7, x=?
2x - 3y = 7 -37 + y = 7 The second equation simplifies to -2y = 7 so that y = -7/2 Substituting this value for y in the first equation gives 2x - 3*(-7/2) = 7 2x + 21/2 = 7 or 4x + 21 = 14 so that 4x = -7 and so x = -7/4 So the solution to the given question is (x, y) = (-7/4, -7/2)
7--