What is the solution of the system?
y equals 9 x minus 2 line break y equals 7 x plus 3
To find the solution of the system, we need to solve the two equations simultaneously. Given:
y = 9x - 2 ...(Equation 1)
y = 7x + 3 ...(Equation 2)
Since both equations are given in terms of y, we can set them equal to each other:
9x - 2 = 7x + 3
To isolate x, we can subtract 7x from both sides:
9x - 7x - 2 = 7x - 7x + 3
2x - 2 = 3
Next, add 2 to both sides:
2x - 2 + 2 = 3 + 2
2x = 5
Now, divide both sides by 2 to solve for x:
2x/2 = 5/2
x = 5/2
To find the value of y, substitute the obtained value of x into either of the original equations. Let's use Equation 1:
y = 9(5/2) - 2
y = 45/2 - 2
y = 45/2 - 4/2
y = 41/2
Therefore, the solution to the system of equations is x = 5/2 and y = 41/2.