2:45pm to 5:30 pm how long did it take?
1 answer:
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Answer:
(2, - 6 )
Step-by-step explanation:
Given the 2 equations
x = y + 5 → (1)
2x + 3y = - 14 → (2)
Substitute x = y + 5 into (2)
2( y + 5 ) + 3y = - 14 ← distribute and simplify left side
y + 10 + 3y = - 14
4y + 10 = - 14 ( subtract 10 from both sides )
4y = - 24 ( divide both sides by 4 )
y = - 6
Substitute y = - 6 into (1) for corresponding value of x
x = (0.5 × - 6 ) + 5 = - 3 + 5 = 2
Solution is (2, - 6 )
<u>ANSWER</u>
The point lies on the straight line
<u>EXPLANATION</u>
The given line is . It can be observed that the given straight line is in the point-slope form.
We can rewrite the equation in the point-slope form to obtain,
.
When we compare this to the general point-slope form, which given by the formula;
,
We can observe that,
and
.
Hence the point, lies on