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grin007 [14]
3 years ago
5

Find the solution of the system of equations. 10x + y = 16 -10x + 5y = 50

Mathematics
1 answer:
slega [8]3 years ago
4 0

Answer:

x= 0.5 y=11

Step-by-step explanation:

solve like simultaneous equations

(10x + y = 16)  + ( - 10x + 5y = 50)

(adding the equations together as that is how you get rid of the x values)

so you are left with 6y= 66

y=11

now substitute y into one of the equations (doesn't matter which)

10x + 11= 16

10x= 5

x=0.5

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What is the equation of a line that contains point (4, –3) and is PARALLEL to –4x + y = 7?
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Answer:

Step-by-step explanation:

First, put -4x+y=7 into y=mx+b format

move -4x to the other side (or add 4x on both sides)

y=4x+7

now, parallel lines have the same slopes, but not the same y intercepts.

So, you already know the slope of your new line

y=4x+b

now we need to find b (y intercept)

take the point (4,-3) and put it into the equation above

-3=4(4)+b

-3=16+b

move 16 to the other side (or subtract 16)

-19=b

therefore the new line will be y=4x-19

Hope this helps!

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In a race, there are 20 runners. Trophies for the race are awarded to the runners finishing in first and second place. In how ma
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Answer:

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