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Solve simultaneously
4x - 0.5y = 12.5
3x + 0.8y = 8.2

1 Answer

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Final answer:

To solve the simultaneous equations 4x - 0.5y = 12.5 and 3x + 0.8y = 8.2, we can use the method of elimination. Multiply the equations to eliminate the variable y, and then solve for x and y. The solution is x = 3 and y = -1.

Step-by-step explanation:

To solve the simultaneous equations:

Equation 1: 4x - 0.5y = 12.5

Equation 2: 3x + 0.8y = 8.2

We can use the method of substitution or elimination to solve these equations.

Using the method of elimination, we can multiply Equation 1 by 3 and Equation 2 by 4 to eliminate the variable y:

Equation 1: 12x - 1.5y = 37.5

Equation 2: 12x + 3.2y = 32.8

Now subtract Equation 1 from Equation 2:

12x + 3.2y - (12x - 1.5y) = 32.8 - 37.5

4.7y = -4.7

y = -4.7/4.7

y = -1

Substitute the value of y back into either equation to find x:

Equation 1: 4x - 0.5(-1) = 12.5

4x + 0.5 = 12.5

4x = 12.5 - 0.5

4x = 12

x = 12/4

x = 3

Therefore, the solution to the simultaneous equations is x = 3 and y = -1.

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