Solve the simultaneous equation 2x-3y-7=0 and x+4y+2=0?

To solve the simultaneous equations 2x - 3y - 7 = 0 and x + 4y + 2 = 0, we can use the method of substitution or elimination.

First, let's solve the second equation for x in terms of y:
x = -4y - 2

Now, substitute x = -4y - 2 into the first equation:
2(-4y - 2) - 3y - 7 = 0
-8y - 4 - 3y - 7 = 0
-11y - 11 = 0
-11y = 11
y = -1

Now, substitute y = -1 back into x = -4y - 2:
x = -4(-1) - 2
x = 4 - 2
x = 2

Therefore, the solution to the simultaneous equations 2x - 3y - 7 = 0 and x + 4y + 2 = 0 is x = 2 and y = -1.

Given simultaneous equations are 2x-3y-7=0 and x 4y 2=0

Step 1: Express x from the second equation
x = 4y + 2

Step 2: Substitute the value of x from the second equation into the first equation
2(4y + 2) - 3y - 7 = 0
8y + 4 - 3y - 7 = 0
5y - 3 = 0

Step 3: Solve for y
5y = 3
y = 3/5

Step 4: Substitute the value of y back into the equation x = 4y + 2
x = 4(3/5) + 2
x = 12/5 + 2
x = 22/5

Therefore, the solution to the simultaneous equations is x = 22/5 and y = 3/5