Math Problem Statement
{ 4x+5y=23 2x−3y=−1
Solution
To solve the system of linear equations:
we can use either the substitution method or the elimination method. Here, I'll use the elimination method.
Step 1: Align the equations:
Step 2: Make the coefficients of or equal:
Multiply equation (2) by 2 so that the coefficient of in both equations becomes the same:
Step 3: Subtract equation (3) from equation (1):
Step 4: Substitute back into one of the original equations to solve for :
Substitute into equation (2):
So, the solution to the system of equations is:
Would you like more details or have any questions?
Here are some related questions for further practice:
- Solve the system of equations using the substitution method: and .
- Find the solution to the system: and .
- Determine and for the equations: and .
- Solve the system: and .
- Use elimination to solve: and .
- Solve by substitution: and .
- Determine the solution: and .
- Solve using any method: and .
Tip: When solving systems of equations, it's often useful to double-check your solutions by substituting them back into the original equations to ensure they satisfy both equations.
Ask a new question for Free
By Image
Drop file here or Click Here to upload
Math Problem Analysis
Mathematical Concepts
Linear Equations
Systems of Equations
Elimination Method
Formulas
-
Theorems
-
Suitable Grade Level
Grades 9-12
Related Recommendation
Solving a System of Linear Equations: 3x + y = 5 and 4x - y = 23
Solve System of Linear Equations 5x + 2y = 4 and 2x + 3y = -5
Solve the System of Linear Equations: 4x + 5y = 2, -2x - y = -3
Solve the System of Equations 4x - 2y = 5 and 3x + 5y = 6 using Elimination
Solve the System of Equations 4x + 3y = 23 and x = 5y Using Substitution