17.2 + 3.1y + 4.2y + 9
= 7.3y + 26.2
Reorder the terms: -5 + 42y + 27y2 Factor a trinomial. (-5 + -3y)(1 + -9y)
-4 + 2y = 242y + 4 = 242y + 4 - 4 = 24 - 42y + 4 - 4 = 24 - 42y = 24 - 42y = 202y/2 = 20/22y/2 = 20/2y = 20/2y = 10Therefore the y-intercept is at (0,10) or has a value of 10
51
Solving equations in two unknowns requires two independent equations. Since you have only one equation there is no solution.
2y + 3 = 42y = 4 - 32y = 1divide both sides of the equation by 22y/2 = 1/2y = 1/2 in fractionory = 0.50 in decimal
Infinite number of solutions
-3x + 2y = -4There are lots of different ways to write it.Here are a few:-3x = -2y - 43x = 2y + 42y = 3x - 4-2y = -3x + 4x = 2y/3 + 4/3y = 3x/2 - 2
Make the equations contain an equal co-efficient of x: first multiplied by 7 = -14x + 42y = 42 second multiplied by 2 = -14x + 16y = -10 Subtract leaving 26y = 52 y = 2 -2x + 12 = 6 -2x = -6 x = 3 Check these values in the two original equations.
3x + 6y = 48 .... Eq.1-5x + 6y = 32 .... Eq.2 .... in another way 6y = 5x + 32Put the value of Eq.2 in Eq. 13x + 5x + 32 = 488x = 48 - 328x = 16x = 16/8 ...... X = 2To find the value of Y put the value of X in Eq.26y = 5x + 326y = 5(2) + 326y = 10 + 326y = 42y = 42/6 ...... Y + 7
Let the amount that Eks has = X.Let the amount that Wye has = Y.X = Y + 14.X + Y = 56(Y + 14) + Y = 562Y + 14 = 562Y = 42Y = 21 ===> X = 35
Coefficients are numbers. Find the GCF of the numbers and divide them by it.Example: 30x + 42yFind the GCF of 30 and 42.Factor them.2 x 3 x 5 = 302 x 3 x 7 = 42Select the common factors.2 x 3 = 6, the GCF30/6 = 542/6 = 730x + 42y = 6(5x + 7y)
We have x and y where 1. y - x = 1 2. 4x - 2y = 82 Solve simultaneously by eliminating y, to get 2x = 84 x = 42y = 43. ---- Arguably, a 'difference of 82' could also mean that 4x - 2y = -82 In this case, we get 2x = -80 x = -40, y = -39