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Add the equations: 4a + 4a - 5b + 5b = 7 + 17

ie 8a = 24

a = 3, so b = 1

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Q: Solve this equation using addition method 4a subtract 5b equals 7 and 4a plus 5b equals 17?
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What number subtracted from 8 gives you 2 09?

8.00 − 5.91 = 2.09 (Method is to first subtract 2.09 from 8.00, which equals 5.91 If you then subtract 5.91 from 8.00 the answer will be 2.09)


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x - y = 2 : Equation 1 2x + 3y = 4 : Equation 2 Multiplying Equation 1 by 3 gives 3x - 3y = 6 : Equation 3 Adding Equation 2 to Equation 3 gives 5x = 10 Dividing both sides by 5 gives x = 5 Substituting x=5 into Equation 1 gives 5 - y = 2 Therefore y = 3. Our final answer is therefore x=5 and y=3


What does the phrase undoing the operations in reverse of the order of operations mean?

This might refer to the method used to solve an equation. Take, for example, the equation: 2x + 1 = 15 To solve this for x, the "x" must be isolated on the left. The multiplication and addition must be "undone" - that is, the inverse operation must be applied. Also, since multiplication is carried out before addition, this "undoing" should be applied in the inverse order - in this case, undo the addition first. What you end up doing, in this case, is first, subtract one from both sides, leaving you with: 2x = 14 and then, divide both sides by 2.


How do you use the elimination method using 5x plus 3y equals -6 and 3x subtract 2y equals 4?

5x + 3y = -63x - 2y = 4 (multiply by 2 the first equation, multiply by 3 the second equation)10x + 6y = -129x - 6y = 12 (add both the equations)19x = 0 (divide by 19 both sides)x = 0 (substitute 0 for x into the first equation)5x + 3y = -65(0) + 3y = -63y = -6 (divide by 3 to both sides)y = -2Thus, (0, -2) is the solution of the given system of the equations.


Describe the solution to the system of equations 5x - y equals 8 and 25x-5y equals 32?

Substitution method: from first equation y = 5x - 8. In the second equation this gives 25x - 5(5x - 8) = 32 ie 25x - 25x + 40 = 32 ie 40 = 32 which is not possible, so the system has no solution. Multiplication method: first equation times 5 gives 25x - 5y = 40, but second equation gives 32 as the value of the identical expression. No solution.

Related questions

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