Simultaneous equation:x=y+1 and x+2y=7
Substitute x from the first equation into the second equation:
(y+1) + 2y = 7
Simplify and solve for y:
3y + 1 = 7
3y = 6
y = 2
Substitute y=2 into the first equation to solve for x:
x = y+1 = 2+1 = 3
Therefore, the solution is x=3 and y=2.
To solve the simultaneous equations:
x = y + 1 --> Equation 1
x + 2y = 7 --> Equation 2
Step 1: Solve Equation 1 for x
x = y + 1
Step 2: Substitute the value of x from Equation 1 into Equation 2
(y + 1) + 2y = 7
Step 3: Simplify the equation
3y + 1 = 7
Step 4: Subtract 1 from both sides to isolate the term with y
3y = 6
Step 5: Divide both sides by 3 to solve for y
y = 2
Step 6: Substitute the value of y into Equation 1 to find x
x = 2 + 1
x = 3
Therefore, the solution to the simultaneous equations is:
x = 3, y = 2