use substitutio method
y+x=7
3x+y=15
y+x=7
3x+y=15
y = 7 - x
3x + 7 - x = 15
2x = 8
x = 4
Take it from there.
a bucket is 44cm in diameter at the top and 24cm at diameter at the bottom.Find its capacity in litres if its 36cm deep
y+4=7
y=3
(3×4)+y=15
12+y=15
y=3
answer=....x=4 and y=3
To solve the system of equations using the substitution method, we will solve one equation for one variable and substitute it into the other equation.
Let's solve the first equation, y + x = 7, for y:
y = 7 - x
Now, substitute this expression for y into the second equation, 3x + y = 15:
3x + (7 - x) = 15
Simplify the equation:
3x + 7 - x = 15
Combine like terms:
2x + 7 = 15
Subtract 7 from both sides:
2x = 8
Divide both sides by 2:
x = 4
Now that we have found the value of x, we can substitute it back into the first equation to find the value of y:
y + 4 = 7
Subtract 4 from both sides:
y = 7 - 4
y = 3
So, the solution to the system of equations is x = 4 and y = 3.