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VashaNatasha [74]
3 years ago
15

Can someone please help me? I solved all the sides but when I add it up I don't get any of the options :(

Mathematics
1 answer:
aivan3 [116]3 years ago
8 0
292

please mark brainliest?? :)
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Answer:

The lines representing these equations intercept at the point (-4,2) on the plane.

Step-by-step explanation:

When we want to find were both lines intercept, we are trying to find a pair of values (x,y) that belongs to both equations, which means that it satisfies both equations at the same time.

Therefore, we can use the second equation that gives us the value of y in terms of x, to substitute for y in the first equation. Then we end up with an equation with a unique unknown, for which we can solve:

x+y=-2\\x+(2x+10)=-2\\x+2x+10=-2\\3x+10=-2\\3x=-2-10\\3x=-12\\x=\frac{-12}{3} \\x=-4

Next we use this value we obtained for x (-4) in the same equation we use for substitution in order to find which y value corresponds to this:

y=2x+10\\y=2(-4)+10\\y=-8+10\\y=2

Then we have the pair (x,y) that satisfies both equations (-4,2), which is therefore the point on the plane where both lines intercept.

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3 years ago
Solve x<3 and x≥−1 and write the solution in interval notation. If there is no solution, type ∅ .
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Shown in the Figure below

Step-by-step explanation:

In this exercise, we have the following system of inequalities:

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The word and means intersection, so both inequalities must be true at the same time. We can graph this system as indicated in the figure below. Indeed, there is intersection between -1 and 1. Also, the number -1 is included in the solution because x\geq -1 and this is represented by the closed circle. On the other hand, the number 3 is not included in the solution because x and this is represented by the open circle.

<h2>Learn more:</h2>

Inequalities: brainly.com/question/12261425

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Evaluate 4x + 5y , when x = 7 and y = 10
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Hi ;-)

x=7 \ and \ y=10\\\\4x+5y=4\cdot7+5\cdot10=28+50=\boxed{78}

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