3g-2x=-2135 x=2g+60 Solve for g

Mathematics

1 answer:

jarptica [38.1K]3 years ago

5 0

Answer:

x = -3970, g = 2015

Step-by-step explanation:

Solve this system of linear equations by substitution: substitute 2g + 60 for x in the first equation.

Then we have:

3g - 2(2g + 60) = -2135

Performing the indicated multiplication, we get:

3g - 4g - 120 = -2135, or

-g = -2015

Then g = 2015. Then x = 2(-2015) + 60, or x = -3970

The solution is x = -3970, g = 2015

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Use interval notation to express the set of real numbers x that satisfies the inequality (x+2)(x-5) < 0.

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The interval notation to express the set of real numbers <u>x</u> that satisfies the given inequality is -2<x<5. You also can represent it as (-2,5)

<h3>Inequality</h3>

It is an expression mathematical that represents a non-equal relationship between a number or another algebraic expression. Therefore, it is common the use following symbols: ≤ (less than or equal to), ≥ (greater than or equal to), < (less than), and > (greater than).

The solutions for inequalities can be given by: a graph in a number line or numbers.

For solving this exercise, it is necessary to find a number solution for the given inequality.

First, you should find the critical points of the inequality.

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x-5=0

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Write, the intervals in between critical points. Therefore, -2<x<5.