What’s the solution to -5x-y=21 when y is equal to 6+4x

Mathematics

1 answer:

agasfer [191]2 years ago

3 0

Answer:

x= -3, y=-6

Step-by-step explanation:

In the equation -5x-y=21, substitute y for 6+4x:

-5x- (6+4x) = 21

^^Solve for x.

X should come out to -3. To find y, plug -3 into either equation (-5x-y=21 or y=6+4x) and y should equal -6.

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The measures of the angles of a triangle solve for X

kompoz [17]

Answer:

x = 7

Step-by-step explanation:

Because this is a right triangle, one angle is a right angle (90°). All triangles have all three angle measures adding up to 180°, so the other two angles' measures add up to 90° (90 + 90 = 180).

Combine like terms of the angle measures.

6x + 9x = 15x

-3 + (-12) = -15

15x - 15

Because the sum of the measures of the two angles have to equal 90,

15x - 15 = 90

Add 15 from both sides.

15x = 105

Divide both sides by 15.

x = 7

To check, substitute 7 in both expressions.

6(7) - 3 = 39

9(7) - 12 = 51

39 + 51 + 90 (the measure of the right angle) = 180, so the value of x is 7.

I hope this helped :)

7 0

3 years ago

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adoni [48]

Answer:

Step-by-step explanation:

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4 0

2 years ago

Is the ordered pair a solution of y ≥ 2x − 5? a. (3, 1) b. (1, −4)

Deffense [45]

Answer:

a. Yes

b. No

Step-by-step explanation:

To find if an ordered pair is a solution to the inequality, substitute its x and y values for the x and y in the inequality and solve. If the equation is true, then it is a solution. If it is not, then it is not a solution.

1) First, substitute the x and y values of (3, 1) into the inequality. So, substitute 3 for x and 1 for y:

$1 \geq 2(3)-5\\1\geq 6-5\\1\geq 1$