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Alex Ar [27]
3 years ago
6

Hich ordered pair is the solution to the system of equations? {x=(1)/(2)y+5} {2x+3y=-14}

Mathematics
2 answers:
faltersainse [42]3 years ago
8 0

Answer:

(2, - 6 )

Step-by-step explanation:

Given the 2 equations

x = \frac{1}{2} y + 5 → (1)

2x + 3y = - 14 → (2)

Substitute x = \frac{1}{2} y + 5 into (2)

2( \frac{1}{2} y + 5 ) + 3y = - 14 ← distribute and simplify left side

y + 10 + 3y = - 14

4y + 10 = - 14 ( subtract 10 from both sides )

4y = - 24 ( divide both sides by 4 )

y = - 6

Substitute y = - 6 into (1) for corresponding value of x

x = (0.5 × - 6 ) + 5 = - 3 + 5 = 2

Solution is (2, - 6 )

Airida [17]3 years ago
7 0

Answer:

The solution to the system of equations is (2,-6).

Step-by-step explanation:

Given : Equations x=\frac{1}{2}y+5 and 2x+3y=-14

To find : Which ordered pair is the solution to the system of equations?

Solution :

Write the equation  x=\frac{1}{2}y+5  as  2x=y+10 ....(1)

Let  2x+3y=-14  ....(2)

Substitute the value of '2x' from (1) in (2),

y+10+3y=-14

4y=-24

y=\frac{-24}{4}

y=-6

Substitute in x=\frac{1}{2}y+5 ,

x=\frac{1}{2}(-6)+5

x=-3+5

x=2

The solution to the system of equations is (2,-6).

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