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4 years ago

Which equation is the result of solving y-p=m(x-q) for x

Mathematics

1 answer:

pickupchik [31]4 years ago

4 0

Answer:

x= y/m-p/m-q ; m≠0

Step-by-step explanation:

y-p= m(x-q)

Divide both sides by m

y/m -p/m= x-q

add q to y/m - p/m

x= y/m- p/m +q

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3 years ago

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4 years ago

{2x+2y=2,2(x+y)=10}A. single solution B. no solution C. infinite solutions

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To find the number of solutions of a system of linear equations you need to identify the slope (m) in each equation:

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-If the slope is different in the lines the system has one solution

-If the equation are the same (incluided the value of b) the system has infinitely many solutions

You have the next equations:

$\begin{gathered} 2x+2y=2 \\ 2(x+y)=10 \end{gathered}$

Write the equations in slope-intercept form y=mx+b (solve for y).

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$\begin{gathered} 2y=-2x+2 \\ y=-\frac{2}{2}x+\frac{2}{2} \\ \\ y=-x+1 \end{gathered}$

Second equation:

$\begin{gathered} 2x+2y=10 \\ 2y=-2x+10 \\ y=-\frac{2}{2}x+\frac{10}{2} \\ \\ y=-x+5 \end{gathered}$ As the equations have the same slope m = -1, the system has no solution (the line doesn't cross each other)

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