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Annette [7]
3 years ago
8

Graph the system of equations on your graph paper to answer the question. {y=−x+4y=x−2 What is the solution for the system of eq

uations?

Mathematics
2 answers:
Katyanochek1 [597]3 years ago
7 0

Answer:

The solution for the system of equations is x=3, y=1

Step-by-step explanation:

we have

y=-x+4 -----> equation A

y=x-2 -----> equation B

we know that

The solution of the system of equations is the intersection point both graphs

using a graphing tool

The intersection point is (3,1)

see the attached figure

therefore

The solution for the system of equations is

x=3, y=1

KIM [24]3 years ago
5 0
\left\{\begin{array}{ccc}y=-x+4&(1)\\y=x-2&(2)\end{array}\right\\\\(1)\\for\ x=0\to y=-0+4=4\to(0;\ 4)\\for\ x=4\to y=-4+4=0\to(4;\ 0)\\(2)\\for\ x=0\to y=0-2=-2\to(0;\ -2)\\for\ x=2\to y=2-2=0\to(2;\ 0)\\\\\text{the graph in attachment}\\\\\text{Answer:\ x=3;\ y=1}

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Step-by-step explanation:

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3 years ago
Twice a number plus twice a second number is 310. The difference between the numbers is 55
agasfer [191]

Answer:

x = 105

y = 50

Step-by-step explanation:

To solve this, try writing it out as an equation/expression first.

When you do, you should get something like this:

2x + 2y = 310

x - y = 55

This is a system of equations. To solve this, we're going to multiply the second equation [x - y = 55] by 2.

2(x - y = 55) = 2x - 2y = 110

Now, subtract your new equation from the first one [2x + 2y = 310]

2x + 2y = 310

-2x + 2y = -110

//<em>If you</em>'<em>re wondering why I changed the signs of the new equation, I multiplied our new equation [2x - 2y = 110] by -1 since we're subtracting//</em>

When you're done subtracting, the "2x" and "-2x" cancel out, so you're left with:

4y = 200

Now, simply solve for "y" by dividing both sides by 4.

4y = 200

y = 50

Now that we know y's value, substitute it into one of our original equations to solve for x.

//<em>I'm gonna plug y into the second equation [x - y = 55] just because it's easier, but you can plug it into the first one as well and get the same answer//</em>

When we plug it in, we get:

x - (50) = 55

To solve for "x," we must get rid of "-50." To do this, add 50 to both sides.

x - 50 = 55

x = 105

<u>So, x = 105 and y = 50</u>

4 0
3 years ago
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Step-by-step explanation:

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