Select the coordinate point that is a solution of equations. 2x+y=7; 3x-4y=5
a) (-1,9)
b) (-3,-1)
c) (7,4)
d) (3,1)

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

D(3,1)

Step-by-step explanation:

The given equations are:

and

Multiply equation (1) by 4.

Add equation (2) and (3)

Divide through by 11.

Put x=3 into equation (1)

The solution is (3,1)

The correct choice is D

y = 2x

step-by-step explanation:

if you divide each number in the sequence, you'll see that they all have a multiple factor of 2. each number in the series, and any other numbers which may continue, will be multiplied by 2. therefore, y is the next number in the sequence, and x is the current one, so, our formula will be y = 2x.