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How might you eliminate the x-term from the top equation?
Clearly, it has already been eliminated since I cannot see any x in the top equation!
What do you do when you can't readily eliminate two terms while solving a linear system by elimination?
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.
5x - 7y equals -40 3x equals 2y - 24?
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
X plus 2y equals -1 4x plus 3y equals -9?
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
Is the equation undefined when the 0 is on the bottom of the fraction or top?
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.
