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Adalyn
Mathematics
26 December, 00:28
Solve 7x+3y=8 and 4x-y=-9 simultaneously
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Kenyon Zhang
26 December, 00:41
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Answer: x = - 1 and y = 5
Step-by-step explanation:
7x + 3y = 8 ... equation 1
4x - y = - 9 ... equation 2
Solving the simultaneous linear equation by substitution method, make y the subject of the formula from equation 2, we have
y = 4x + 9 ... equation 3
substitute y = 4x + 9 into equation 1, we have;
7x + 3 (4x + 9) = 8
7x + 12x + 27 = 8
19x + 27 = 8
subtract 27 from both sides
19x = - 19
divide through by 19
x = - 1
substitute x = - 1 into equation 3, we have
y = 4 (-1) + 9
y = - 4 + 9
y = 5
Therefore:
x = - 1 and y = 5
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