It's done! Not only that but the whole equation has been eliminated!
You have to multiply either one of the equations, or both of them by one, or two different positive or negative numbers, to manipulate the equation so that you can eliminate one of the variables. Ex: 4x-3y=2 / 2x-3y=2 ... You would have to multiply either the top or bottom equation by negative 1 to change one of the -3y's into positive 3y, then you can eliminate the y.
Presumably this is a simultaneous equation question. 5x-7y = -40 3x = 2y-24 3(5x-7y = -40) 5(3x-2y = -24) After aligning the letters and numbers multiply the top equation by 3 and the bottom equation by 5. Note that 2y is now -2y because it has moved over to the other side of the equation. 15x-21y = -120 15x-10y = -120 To eliminate x subtract the bottom equation from the top equation remembering that a - - is equal to a + 0-11y = 0. So y will = 0 Substitute the value of y into the equations to find the value of x Solution: x = -8 and y = 0
Presumably this is a simultaneous equation question which can be solved using the elimination method? 4(x+2y = -1) 4x+3y = -9 First multiply all terms in the top equation by 4: 4x+8y = -4 4x+3y = -9 Subtract the bottom equation from the top equation in order to eliminate x remembering that a - - is equal to a + So -4 - -9 is equal to 5: 5y = 5 => y = 1 Substitute the value of y into the original equations to find the value of x: Therefore: x = -3 and y = 1
The equation is undefined when the 0 is on the bottom of a fraction. This is because division by zero is not defined in mathematics and leads to undefined values. If the 0 is on the top of the fraction, the equation can still be evaluated and the value would be 0.
It's done! Not only that but the whole equation has been eliminated!
You have to multiply either one of the equations, or both of them by one, or two different positive or negative numbers, to manipulate the equation so that you can eliminate one of the variables. Ex: 4x-3y=2 / 2x-3y=2 ... You would have to multiply either the top or bottom equation by negative 1 to change one of the -3y's into positive 3y, then you can eliminate the y.
15x+7y = 4 5x+7y = 2 Subtract the bottom equation from the top equation to eliminate y which will leave you with: 10x = 2 Divide both sides by 10 to find the value of x: x = 2/10 = 1/5 in its lowest terms. Substitute the value of x into the original equations to find the value of y: Therefore: x = 1/5 and y = 1/7
Eliminate the common factors. 36/60 = 18/30 = 9/15 = 3/5, just off the top of my head. You might first eliminate 6, 6x6/6x10 = 6/10, which clearly reduces to 3/5.
numerator on top
Presumably this is a simultaneous equation question. 5x-7y = -40 3x = 2y-24 3(5x-7y = -40) 5(3x-2y = -24) After aligning the letters and numbers multiply the top equation by 3 and the bottom equation by 5. Note that 2y is now -2y because it has moved over to the other side of the equation. 15x-21y = -120 15x-10y = -120 To eliminate x subtract the bottom equation from the top equation remembering that a - - is equal to a + 0-11y = 0. So y will = 0 Substitute the value of y into the equations to find the value of x Solution: x = -8 and y = 0
A vertical equation is written from top to bottom, rather than from left to right.
Multiply the top equation by -3 and the bottom equation by 2.
Presumably this is a simultaneous equation question which can be solved using the elimination method? 4(x+2y = -1) 4x+3y = -9 First multiply all terms in the top equation by 4: 4x+8y = -4 4x+3y = -9 Subtract the bottom equation from the top equation in order to eliminate x remembering that a - - is equal to a + So -4 - -9 is equal to 5: 5y = 5 => y = 1 Substitute the value of y into the original equations to find the value of x: Therefore: x = -3 and y = 1
Sophie!
The equation is undefined when the 0 is on the bottom of a fraction. This is because division by zero is not defined in mathematics and leads to undefined values. If the 0 is on the top of the fraction, the equation can still be evaluated and the value would be 0.
Presumably this is a simultaneous equation question in the form of: 3x+6y = 48 -5x+6y = 32 Subtract the bottom equation from the top equation in order to eliminate y. Note that 3x - - 5x is equal to + 8x: 8x = 16 Divide both sides by 8 to find the value of x: x = 2 Substitute the value of x into the original equations to find the value y: Therefore: x = 2 and y = 7