Question
Solve the system. Estimate the solution first. Enter whole numbers for the estimated solution and
Improper fractions in simplest form for the algebraic solution.
The estimated solution is (
The algebraic solution is (
Improper fractions in simplest form for the algebraic solution.
The estimated solution is (
The algebraic solution is (
Ask by Rojas Turnbull. in the United States
Jan 24,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
The estimated solution is (1.25, -1.75) and the algebraic solution is
Solution
Solve the system of equations
Solve the system of equations by following steps:
Solve the system of equations by following steps:
- step0: Solve using the substitution method:
- step1: Solve the equation:
- step2: Substitute the value of
- step3: Simplify:
- step4: Move the constant to the right side:
- step5: Add the numbers:
- step6: Divide both sides:
- step7: Divide the numbers:
- step8: Substitute the value of
- step9: Simplify:
- step10: Calculate:
- step11: Check the solution:
- step12: Rewrite:
The estimated solution isand the algebraic solution is .
Answered by UpStudy AI and reviewed by a Professional Tutor
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Simplify this solution Beyond the Answer
To estimate the solution, we can quickly analyze the two equations. Rewriting them, we notice that if
Now let’s solve the system algebraically.
-
From the first equation:
-
Substitute
in the second equation: -
Now substituing
back into :
Therefore, the algebraic solution is
The estimated solution is
