It is impossible to give the value of t when it is not defined.
4y -2 = 6 4y = 6 + 2 4y = 8 y = 2
First collect like terms in the second equation: 5x - 18 = 4y - 3y ie y = 5x - 18 Substitute this for the term in y in the first equation, getting 3x + 2(5x - 18) = 16 ie 3x + 10x - 36 = 16 ie 13x = 16 + 36 so x = 4 and y = 5 x 4 - 18 ie 2.
5X - 2Y X = 9 Y = 4 5(9) - 2(4) 45 - 8 37 is the value
x = 4y 3x - 2y = 20 Substituting the value of x into the second equation, 3*(4y) - 2y = 20 ie 12y - 2y = 20 or 10y = 20 so that y = 2 Then x = 4y = 4*2 = 8. So (x , y) = (8 , 2)
It is: 3x2-5x-2 = 0 and the value of x is -1/3 or 2 when solved
(4, -2)
7x-4y = 26 5x-4y = 14 Subtract the bottom equation from the top squation remembering that a minus minus is equal to a plus therefore - 4y - - 4y = 0 2x = 12 Divide both sides by 2 to find the value of x: x = 6 Substitute the value of x into the original equations to find the value of y: Therefore: x = 6 and y = 4
(4, -2)
5x+y = 2 5x-3y = 14 Subtract the bottom equation from the top equation: 4y = -12 y = -3 Substitute the value of y into the original equations to find the value of x: So: x = 1 and y = -3
x+2y = -1 and 5x-4y = 16 Solving the simultaneous equations gives: x = 2 and y = -1.5
x=-2, y=2
5x + 4y = -2Subtract 5x from each side:4y = -5x - 2Divide each side by 4:y = -1.25 x - 0.5In this form, we can look at it and see that the slope of the graph is -1.25and the y-intercept is -0.5 .
10x + 2y + 8z - 5x + 4z - 4y = 10x - 5x + 2y - 4y + 8z + 4z = (10 - 5)x + (2 - 4)y + (8 + 4)z = 5x - 2y + 12z
-4y=-5x+18 is the same equation. Now divide both sides by -4 and you find the y intercept is -18/4 or -9/2
11
5(4x-3y = 11) 4(5x+4y = 6) Multiply the top equation by 5 and the bottom by 4: 20x-15y = 55 20x+16y = 24 Subtract: -31y = 31 y = -1 Substitute the value of y into the original equations to find the value of x: So: x = 2 and y -1
5x-4y+9y+x-9+7 = 5x + x - 4y + 9y - 9 + 7 = 6x + 5y - 2 ■