Home > Algebra > Linear Systems with Multiplication

How do you solve the simultaneous equations #2x + 5y = 16# and #4x + 3y = 11 #?

Answer 1

I found:
#x=1/2#
#y=3#

You can multiply the first equation by #-2# and add it to the second as: #{-4x-10y=-32# #{4x+3y=11# add together the two equations in column (x with x, y with y, etc.): #0-7y=-21# so: #y=-21/-7=3# substitute this value back into the first equation to find #x#: #2x+15=16# #x=1/2#

By signing up, you agree to our Terms of Service and Privacy Policy

Answer 2

Isaiah Anthony

To solve the simultaneous equations (2x + 5y = 16) and (4x + 3y = 11), you can use the method of substitution or elimination.

Using the method of substitution, solve one equation for one variable and substitute that expression into the other equation. Then, solve for the remaining variable.

Using the method of elimination, add or subtract the equations to eliminate one of the variables, then solve for the remaining variable. Once you have found the value of one variable, substitute it back into one of the original equations to solve for the other variable.

By signing up, you agree to our Terms of Service and Privacy Policy

Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.