What is the solution to this equations?

x = 1     y = 8/3

Step-by-step explanation:

You can use the substitution method to solve this.

Solve for x on the second term by subtracting 3y from both sides to isolate x on the left side.

x = - 3y + 9

Now you know what x is equal to. Next, substitute x = - 3y + 9 into the first equation for every x.

2(-3y+9) + 3y = 10

-6y + 18 + 3y = 10

- 3y + 18 = 10

- 3y = - 8

y = 8/3

Now that we know the value of y we can put it into either of the two equations to find x. Let's put it into the 2nd equation.

x + 3(8/3) = 9

x + 8 = 9

x = 1

Another way to do this is the elimination method.

Notice that both equations have 3y.

2x + 3y = 10

x + 3y = 9

Now, let's subtract the equation x + 3y = 9 from 2x + 3y = 10.

   2x + 3y = 10

- (x+ 3y) = - (9)

On the left side,

2x + 3y - x - 3y = x

On the right side,

10 - 9 = 1.

So, x = 1.

Now put this value into the equation and solve for y. You will get the same answer no matter which method is used.

Value of X is 1

Value of y is 8/3

please see the attached picture for full solution

Hope it helps

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