Question

Find the solution for this system of equations.

2x − 3y = 2
x = 6y − 5
x =

y =

Answer 1

x= infinitely many solution

y= infinitely many solution

for these system of equations.

Answer 2

Answer:

$. Substitute x=6y-5 into 2x-3y=2.</p><p></p><p>     Start with the original equation:</p><p></p><p>         2x-3y=2</p><p></p><p>     Let x=6y-5:</p><p></p><p>         2(6y-5)-3y=2</p><p></p><p>     Simplify:</p><p></p><p>         9y-10=2</p><p></p><p>2 . Solve for y in 9y-10=2</p><p></p><p>      Add 10 to both sides:</p><p></p><p>          9y=2+10</p><p></p><p>      Simplify 2+10 to 12:</p><p></p><p>          9y=12</p><p></p><p>      Divide both sides by 9:</p><p></p><p>          y=\frac{12}{9}912</p><p></p><p>      Simplify 12/9 to 4/3:</p><p></p><p>          y=\frac{4}{3}34</p><p></p><p>3. Substitute y=\frac{4}{3}34 into x=6y-5</p><p></p><p>        Start with the original equation:</p><p></p><p>               x=6y-5</p><p></p><p>        Let y=\frac{4}{3}34 .</p><p></p><p>              x=6×\frac{4}{3}34 -5</p><p></p><p>        Simplify:</p><p></p><p>             x=3</p><p></p><p>4. Therefore,</p><p></p><p>x=3</p><p></p><p>y=\frac{4}{3}34</p><p></p><p>$