Please help me to Solve the simultaneous equations

x = 0.5 or 1/2

y = 4

Step-by-step explanation:

to solve this simultaneous equation , using the substitution method we are going to say that

let

2x + 3y = 13 equation 1

4x - y = -2 equation 2

from equation 2

4x - y = -2 equation 2

collect the like terms

4x+2 = y

y = 4x + 2 equation 3

put the value of y into equation 1

2x + 3y = 13 equation 1

2x + 3(4x+2) = 13

2x + 12x + 6 = 13

14x = 13 -6

14x = 7

divide both sides by the coefficient of x

we have

14x/14 = 7/14

x = 1/2 or 0.5

substitute for x = 1/2 in equation 3

y = 4x + 2 equation 3

y = 4(0.5) + 2

y =2+2

y = 4

the answer is a

step-by-step explanation:

step-by-step explanation: