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baherus [9]
3 years ago
6

Tell which variable you would choose to eliminate when solving the system by elimination. Then solve the system by elimination.

Equation 1: 2x+y=−5. Equation 2: −2x+y=8. You can eliminate [ ] by [ ]. The solution of the system is ( [ ], [ ] ).
Mathematics
1 answer:
Julli [10]3 years ago
3 0

Answer:

x = 3/2 and y = -8.

Step-by-step explanation:

Given equations are :

2x+y=−5 ....(1)

−2x+y=8 ....(2)

We need to solve the above equations.

Adding equation (1) and (2).

2x+y −2x+y=-5+8

2y = 3

x = 3/2

Put the value of x in equation (1).

2\times \dfrac{3}{2}+y=-5\\\\3+y=-5\\\\y=-5-3\\\\y=-8

So, the solution of the above equations are x = 3/2 and y = -8.

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7 0
2 years ago
What is an equation of the line that passes through the point (−2,−3) and is parallel to the line 4x-y=14
liraira [26]

Answer:

4x - y = -5

Step-by-step explanation:

The equation of a new line which is parallel to old line 4x - y = 14 looks exactly the same as that of the old line EXCEPT that we replace the constant, 14, with C and find C for the line that passes through (-2, -3).

4x - y = 14     becomes     4x - y =  C

Now substitutte -2 for x, -3 for y and calculate C:

4(-2) - (-3) = C, or

-8 + 3 = C = - 5

Thus, the new equation is 4x - y = -5

5 0
3 years ago
Which angles are vertical angles in the figure shown select two answers
lakkis [162]

Answer:I think I see where they got it from I think it’s B)2 and 3 C)5 and 8

If not then will update with correct answer

Step-by-step explanation:

7 0
3 years ago
suppose a ladder 20 feet long is placed against a vertical wall 20 feet high . how far would the top of the ladder move down the
dezoksy [38]
The ladder leaning against the wall forms a right angled triangle with the gound and the wall. So we can use the formula:a² + b² = c²The ladder is the hypotenuse c²The vertical leg is b²The base or horizontal leg is a²We need to find the length of the base a²,  so:a² = c² - b²a² = 5² - 4²a² = 25 - 16a² = 9a = √9a = 3<span>Therefore the bottom of the ladder must be 3 feet  from the wall.

Example:
</span>If the 24 foot ladder is leaned on the house with the bottom 8 feet  from the base  the wall of the house, then it will form a right angled triangle.The base of the triangle will be 8 feet while the 24 foot ladder forms the hypotenuse. We need to find out the height from the base of that wall to the point the ladder touches the wall.Let the hypotenuse be CLet the base be BLet the height be AWe use this formula:   A squared + B squared = C squaredA sq + 8 sq = 24 sqA sq + 64 = 576A sq = 576 - 64A sq = 512A = Square root 512A = 22.6To the nearest 10th this will be 23<span>So the answer is 23 feet.</span>
6 0
3 years ago
What would you multipy and to which equation to start solving by using the elimination method? Then would you add or subtract th
tester [92]

Answer:

multiply the first equation by -2, then add them

Step-by-step explanation:

7x+4y=-4         *-2 7x+4y=-4 *-2 = -14x-8y=8

5x+8y=28

-14x-8y=8                       x=-4, y=6

-9x=36

x=-4

7(-4)+4y=-4

-28+4y=-4

4y=24

y=6

8 0
3 years ago
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