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Trava [24]
2 years ago
12

Solve this system of linear equations. Separate the x- and y-values with a comma. 8x + 10y = 10 5x + 4y = -14

Mathematics
1 answer:
lubasha [3.4K]2 years ago
6 0

Answer

{-10, 9}

Step-by-step explanation:

The above are Simultaneous equations

<h2>What are simultaneous equations?</h2>

These are two or more equations that share same variables.

8X + 10Y = 10--------(1)

5X + 4Y = -14-------(2)

<h3>Multiply equation (1) by 5 and equation (2) by 8</h3>

40X + 50Y = 50 ---------(3)

40X + 32Y = - 112--------(4)

<h3>Subtract equation (4) from (3)</h3>

18Y = 162

<h3>Divide bothsides by 18</h3>

\frac{18y}{18}  =  \frac{162}{18}  \\ y = 9

<h3>Substitute y = 9 into equation (3)</h3>

40X + 50Y = 50

40X + 50(9) = 50

40X + 450 = 50

40X = 50 - 450

40X = - 400

<h3>Dividing \: bothsides \: by \: 40 \\  \frac{40x}{40}  =  \frac{ - 400}{40}  \\  \\ x = -  10 \\ therefore \: the \: values \: are \: -10,  \:  9</h3>

{-10, 9}

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