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alexgriva [62]
4 years ago
8

Select the coordinate point that is a solution of equations. 2x+y=7; 3x-4y=5

Mathematics
2 answers:
DedPeter [7]4 years ago
7 0

Answer:

D(3,1)

Step-by-step explanation:

The given equations are:

2x+y=7...(1)

and

3x-4y=5...(2)

Multiply equation (1) by 4.

\Rightarrow 8x+4y=28...(3)

Add equation (2) and (3)

\Rightarrow 11x=33

Divide through by 11.

\Rightarrow x=3

Put x=3 into equation (1)

2(3)+y=7

6+y=7

y=7-6

y=1

The solution is (3,1)

The correct choice is D

grandymaker [24]4 years ago
4 0

Answer:

D (3,1)

Step-by-step explanation:

solving simultaneous equations

Arrange equations

2x+y=7

3x-4y=5

make y side cancell by addition by multiplying by 4 and 1 as shown

4{2x+y=7}

1{3x-4y=5}

8x+4y=28

3x-4y=5

11x=33

x=33/11=3

substitute for x=3 in 3x-4y=5

9-4y=5

4=4y

y=1

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