Solve the following system of equations: (2 points) 5x + y = 9 3x + 2y = 4

x=2, y = -1

Step-by-step explanation:

Given the system of equation;

5x + y = 9 ... (1)

3x + 2y = 4 ...(2)

We will solve it simultaneously to get variables x and y.

Using substitution method,

From equation 1, y = 9-5x ...(3)

Substituting equation 3 into 2 we will have;

3x + 2(9-5x) = 4

3x + (18-10x) = 4

3x + 18 -10x = 4

3x-10x+18 = 4

-7x+18 = 4

-7x = 4-18

-7x =-14

Dividing both sides by -7, we will have;

-7x/-7 = -14/-7

x = 2

Substituting x = 2 into equation 1 to get y we will have;

5x+y= 9

5(2) + y = 9

10+y = 9

y = 9-10

y = -1

Therefore x = 2 and y = -1 is the solution to the simultaneous equation.

option: d is correct

step-by-step explanation:

let's solve your equation step-by-step.

4x+2=2x+12

step 1: subtract 2x from both sides.

4x+2−2x=2x+12−2x

2x+2=12

step 2: subtract 2 from both sides.

2x+2−2=12−2

2x=10

step 3: divide both sides by 2.

2x

2

=

10

2

x=5

step-by-step explanation: