.
I need help with this following equation :
3x - 7y = 2
2x - 3y = 3
I can only use substitution, please help
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
3x - 7y = 2, (1)
2x - 3y = 3. (2)
Express x from (2): x = .
Now substitute ("plug-in") it into equation (1). You will get
= 2. (3)
instead of (1). Multiply both sides of (3) by 2 to rid of denominator. You will get
3*(3+3y) - 14y = 4.
Simplify it step by step:
9 + 9y - 14y = 4,
9y - 14y = 4 - 9,
-5y = -5,
y = 1.
Then x = = 3.
Answer. x = 3, y = 1.
On the Substitution method, Elimination method, Determinants' method for solving the systems of two linear equations in two unknowns see the lessons
- Solution of the linear system of two equations in two unknowns using determinant
- Solution of the linear system of two equations in two unknowns by the Substitution method
- Solution of the linear system of two equations in two unknowns by the Elimination method
- Geometric interpretation of the linear system of two equations in two unknowns
in this site.