Mathematics
07.02.2023 11:31
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For what value of b do the lines bx+3y=10 and x–2y=4 intersect at a point on the
For what value of b do the lines bx+3y=10 and x–2y=4 intersect at a point on the x-axis?
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DVM117x017
4,7(32 marks)
Since we need to find the point at which the 2 lines intersect at the x-axis, we need to find where the 2nd line intersects the x axis, by plugging in y=0.
x-2(0)=4
x=4
Therefore, at (4,0).
Now we plug in (4,0) at the first equation.
4b+3(0)=10
4b=10
b=5/2
Therefore, at b=5/2
x-2(0)=4
x=4
Therefore, at (4,0).
Now we plug in (4,0) at the first equation.
4b+3(0)=10
4b=10
b=5/2
Therefore, at b=5/2
lnr919
4,9(34 marks)
4 43/50
Hope this help <3
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