Find the value of m given two equations with two variables

The solution to the system of equations 5m + n = 26 and m - n = 4 is m = 5 and n = 1. Calculating m^n results in 5^1 = 5.

Answer

The problem is to solve a system of two linear equations and then calculate the value of

.
The given equations are:

We can solve this system of equations using the method of elimination.
Add equation (1) and equation (2):

Combine like terms:

Divide both sides by 6 to solve for

Now substitute the value of

into equation (2) to solve for

Subtract 5 from both sides:

Multiply both sides by -1 to solve for

Now we need to calculate

.
We have

and

To verify our solution, we can substitute

and

into equation (1):

This is correct.

Final Answer: The final answer is

Related math solutions

Rewrite y + 7 = 1/5(x + 10) in Slope-Intercept Form

Learn how to convert the linear equation y + 7 = 1/5(x + 10) into slope-intercept form by distributing and isolating y to get y = 1/5x - 5.

Comprehensive Mathematics Exam Solutions for Trigonometry, Algebra, and Calculus

Step-by-step solutions to a variety of mathematical problems including trigonometric equations, joint variation, quadratic equations, sequence formulas, and proofs.

Solve an Absolute Value Equation with Fractions

Solve |(5x−1)/2| = |(3x+1)/4| by multiplying both sides by 4, then considering equal and opposite expressions inside the absolute values. The solutions are x = 3/7 and x = 1/13.

Algebraic Proof: Show That an Expression is Even

Prove algebraically that the expression n^2 - 2 - (n - 2)^2 is always an even number by expanding the brackets and factoring out a 2.

Solve 11 = 4x + 7: Two-Step Equation

Solve the two-step equation 11 = 4x + 7 by subtracting 7 from both sides, then dividing by 4. The solution is x = 1.

Find the value of m given two equations with two variables

Question

Answer

Related math solutions

Sblocca la versione web per sempre

Related math solutions