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podryga [215]
3 years ago
5

Solve the simultaneous equations 2x+3y=13 4x-y=-2

Mathematics
1 answer:
kherson [118]3 years ago
4 0
From eq1 ,
2x = 13-3y
x = 6.5-1.5y (eq 3)
sub eq 3 into eq2,
4(6.5-1.5y)-y=-2
26-6y-y=-2
-6y-y=-2-26
-7y=-28
7y=28
y=4 ( eq 4 )
sub eq4 into eq3 ,
x=6.5-1.5(4)
x=6.5-6
x=0.5


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Step-by-step explanation:

Hey there!

The given point is (8,-3) as (x1,y1) and slope (m) = -3/4.

<u>Note</u><u>:</u><u> </u><u>use</u><u> </u><u>one</u><u> </u><u>po</u><u>int</u><u> formula</u><u> for</u><u> </u><u>f</u><u>inding</u><u> </u><u>the</u><u> </u><u>eq</u><u>uation</u><u>.</u>

(y - y1) = m(x - x1)

<u>Pu</u><u>t</u><u> all</u><u> values</u><u>.</u>

<u>(y  + 3) =  -  \frac{ 3}{4} (x - 8)</u>

<u>Sim</u><u>plify</u><u> it</u><u>.</u>

<u>(y + 3) =   -  \frac{  3}{4} x - 8 \times  -  \frac{3}{4}</u>

<u>(y + 3) =  -  \frac{3}{4} x + 6</u>

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