What is the solution to this system of linear equations 7x + 2y = 6 and 8x + y = 3?

To find the solution to the system of equations:

• 7x + 2y = 6
• 8x + y = 3

We can use the substitution or elimination method. Here, let’s use the elimination method for simplicity.

First, we will manipulate the second equation (8x + y = 3) to express y in terms of x:

y = 3 - 8x

Next, we will substitute this expression for y into the first equation:

7x + 2(3 - 8x) = 6

Now, simplify and solve for x:

7x + 6 - 16x = 6

-9x + 6 = 6

-9x = 0

x = 0

Now that we have the value of x, we can substitute it back into the equation for y:

y = 3 - 8(0) = 3

So, the solution to the system of equations is:

(x, y) = (0, 3)

This means that the point (0, 3) is where the two lines represented by the equations intersect on a graph.