Math Problem Statement
Solution
Let's solve the problem step by step. The question asks to find the point of intersection of two straight lines for each given pair of equations. We will go through each pair of equations:
a) and
To find the point of intersection, set the two equations equal to each other:
Solving for :
Substitute back into one of the original equations, say :
So, the point of intersection is .
b) and
We can solve this system by substitution or elimination. Let's use the elimination method. Subtract the second equation from the first:
This simplifies
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Math Problem Analysis
Mathematical Concepts
Algebra
Linear Equations
System of Equations
Intersection of Lines
Formulas
Set y = y for two equations: y1 = y2
Substitution method: substitute one equation into the other
Elimination method: subtract or add the equations to eliminate a variable
Theorems
Properties of Linear Systems
Point of Intersection
Suitable Grade Level
Grades 8-10