Question
Use substitution to solve each system of equations. 4x+y=10 2.
Solution
4.1
(117 Votes)
Aniya
Master ยท Tutor for 5 years
Answer
### This problem is unsolvable as stated because the second equation is missing. *If* the second equation were
, then the solution would be
.
Explanation
## Step 1: Isolate a variable.### The first equation,
, can be easily rearranged to isolate
: Subtract
from both sides to get
.## Step 2: Substitute and solve.### Substitute the expression for
from Step 1 into the second equation (which is missing, making the problem unsolvable as presented). *Assuming* the second equation was
, the substitution would look like this:
. Simplifying this gives
, which further simplifies to
, and finally
.## Step 3: Solve for the other variable.### Substitute the value of
back into either of the original equations. Using the first equation:
. This simplifies to
. Solving for
gives
.