Can this be solved?
x+y=160
x=4y+9
subtract the second equation from the first.
0+y=160-4y-9
5y=151
y= ...
Thank you
Yes, this system of equations can be solved. To find the values of x and y that satisfy both equations, we can use a method called substitution or elimination.
Let's use the substitution method to solve this system.
Starting with the first equation: x + y = 160, we can express y in terms of x by subtracting x from both sides: y = 160 - x.
Now we substitute the expression for y in the second equation: x = 4y + 9. Replace y with 160 - x in the equation: x = 4(160 - x) + 9.
Simplify the equation: x = 640 - 4x + 9.
Combining like terms: 5x = 649.
Divide both sides by 5: x = 649/5.
Therefore, x = 129.8.
Now, substitute the value of x back into one of the original equations to solve for y. Let's use the first equation: x + y = 160.
Substitute x = 129.8 into the equation: 129.8 + y = 160.
Simplify: y = 160 - 129.8.
y = 30.2.
So the solution to the system of equations is x = 129.8 and y = 30.2.