Question

Find the solution for this system of equations.

Answer 1

refer to pic

Thankyou...

Answer 2

Answer:

x = 3, y = 1$\frac{1}{3}$

Step-by-step explanation:

2x - 3y = 2 --- Equation 1

x = 6y - 5 --- Equation 2

Subsitute x = 6y - 5 into Equation 1:

2x - 3y = 2

2(6y - 5) - 3y = 2

Expand the brackets.

12y - 10 - 3y = 2

Evaluate like terms.

9y - 10 = 2

Isolate 9y.

9y = 2 + 10

    = 12

Find y.

y = 12 ÷ 9

y = 1$\frac{3}{9}$

y = 1$\frac{1}{3}$

Substitute y = 1$\frac{1}{3}$ into Equation 2:

x = 6y - 5

x = 6(1$\frac{1}{3}$) - 5

  = 8 - 5

x = 3