Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

kenneth wants to solve the system of equations sh value of $y$ for diff…

Question

kenneth wants to solve the system of equations sh value of $y$ for different values of $x$.
kenneth looks at the graph and says the solution is $(1.5, 3)$.
how can you check kenneths answer?
substitute ? for $x$ and ? for $y$ in both equations, then simplify.
the ordered pair $(1.5, 3)$ is a solution
if ?
one equation is true
neither equation is true
both equations are true

Explanation:

Step1: Identify substitution values

For the ordered pair $(1.5, 3)$, the first value is $x$ and the second is $y$. So substitute $1.5$ for $x$ and $3$ for $y$.

Step2: Define solution condition

A solution to a system of equations must satisfy all equations in the system, meaning both equations must be true after substitution.

Answer:

Substitute $\boldsymbol{1.5}$ for $x$ and $\boldsymbol{3}$ for $y$ in both equations, then simplify.
The ordered pair $(1.5, 3)$ is a solution if $\boldsymbol{\text{both equations are true}}$.