Answer:
x = 4
y = 8
Explanation:
From the question given above,
3.2x – 0.6y = 8 .......... (1)
–0.8x + 0.9y = 4 ......(2)
We shall determine the value of x and y by using elimination method as illustrated below:
3.2x – 0.6y = 8 .......... (1)
–0.8x + 0.9y = 4 ......(2)
Multiply equation 1 by 0.8 and equation 2 by 3.2
0.8 × (3.2x – 0.6y = 8)
2.56x – 0.48y = 6.4 ......... (3)
3.2 × (–0.8x + 0.9y = 4)
–2.56x + 2.88y = 12.8....... (4)
Next, add equation 3 and 4 together. This is illustrated below:
,,,,,, 2.56x – 0.48y = 6.4
+ –2.56x + 2.88y = 12.8
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2.4y = 19.2
Divide both side by 2.4
y = 19.2 / 2.4
y = 8
Substitute the value of y into any of the equation to obtain the value of x. Here, we shall use equation equation 1. This is illustrated below:
3.2x – 0.6y = 8
y = 8
3.2x – 0.6(8) = 8
3.2x – 4.8 = 8
Collect like terms
3.2x = 8 + 4.8
3.2x = 12.8
Divide both side by 3.2
x = 12.8 / 3.2
x = 4
From the calculations made above,
x = 4
y = 8