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Lerok [7]
3 years ago
15

Solve by substitution -2x+4y+6=0 x-5y+3=0

Mathematics
1 answer:
dsp733 years ago
7 0
-2x+4y+6=0 \\
x-5y+3=0 \\ \\
\hbox{solve the 1st equation for x:} \\
-2x+4y+6=0 \ \ \ |-(4y+6) \\
-2x=-4y-6 \ \ \ |\div (-2) \\
x=2y+3 \\ \\
\hbox{substitute 2y+3 for x in the 2nd equation:} \\
2y+3-5y+3=0 \\
-3y+6=0 \ \ \ |-6 \\
-3y=-6 \ \ \ |\div (-3) \\
y=2 \\ \\
x-5y+3=0 \\
x-5 \times 2+3=0 \\
x-10+3=0 \\
x-7=0 \ \ \ |+7 \\
x=7 \\ \\
(x,y)=(7,2)
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Jose earned 50 points in a video game. He lost 45 points, earned 87 points, then lost 25 more points. Enter and evaluate an expr
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Answer:

50-45+87-25=67

Step-by-step explanation:

earning is + so +50

losing is - so  -45

+87

-25

7 0
2 years ago
Can someone plz help me no links plz I beg u I’m confused I would really appreciate it
Ghella [55]

Answer: A

Step-by-step explanation:

The maximum amount of weight the truck can carry is 1600lbs. You do not want to exceed 1600lbs, but you can reach 1600lbs. This makes the inequality symbol ≤. This symbol says that the weight load has to be less than 1600lbs, but It can equal 1600lbs. You know that the piano is 400lbs and each box is 50lbs. Since you want to figure out how many boxes you can put on the truck alongside the piano, you can use the inequality: 50x + 400 ≤ 1600.

50 represents pounds per/box

x represents the number of boxes you can hold

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1600 represents the max weight.

8 0
2 years ago
PLEASE HELP ASAP!!!!!!!!!! EASY MATH 25 PTS
Harman [31]

its not worth 25 points but ok here u go let's solve your equation step-by-step.

3y−1=13−4y

Step 1: Simplify both sides of the equation.

3y−1=13−4y

3y+−1=13+−4y

3y−1=−4y+13

Step 2: Add 4y to both sides.

3y−1+4y=−4y+13+4y

7y−1=13

Step 3: Add 1 to both sides.

7y−1+1=13+1

7y=14

Step 4: Divide both sides by 7.

7y

7

=

14

7

y=2

Answer:

y=2 so there your answer is this equation has one solution  your welcome

4 0
2 years ago
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Helen draws three parallelograms. In each figure, she measures a pair of angles, as shown.
kakasveta [241]

Answer:

<em>D. In a parallelogram, opposite angles are congruent.</em>

Step-by-step explanation:

In each case, she measures two opposite angles, and they are congruent.

D. In a parallelogram, opposite angles are congruent.

6 0
3 years ago
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Two small fires are spotted by a ranger from a fire tower 60 feet above ground. The angles of depressions re 11.6° and 9.4°. How
Hitman42 [59]
<span>The two fires are about 70 feet from each other. The assumption is that the ground is relatively level and that a right triangle will be made with the three points of the triangle being the ranger, the spot on the ground directly beneath the ranger, and the fire itself. So the distance to the first fire will be: Calculate the angle. That will be 90° - 11.6° = 78.4° The distance will be tan(78.4) = X/60 60 tan(78.4) = X 60 * 4.871620136 = X 292.2972082 = X And that's how far the 1st fire is from the ranger's station. Now for the 2nd angle = 90° - 9.4° = 80.6° 60 tan(80.6) = X 60 * 6.040510327 = X 362.4306196 = X And the distance between the two fires will be the difference in distance from the tower, so 362.4306196 - 292.2972082 = 70.13341146 Rounding to 2 significant figures gives 70 feet.</span>
4 0
3 years ago
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