Question

let t represent the price of one t - shirt and s represent the price of one sticker.
jadas system:
{ t + 2s = 14
{ 2t + s = 23
leos system:
{ 2t + 3s = 34
{ t + s = 13
question 4
which values satisfy jadas system of equations?
t = 10, s = 2
t = 8, s = 3
t = 6, s = 4
t = 7, s = 3.5
question 5
what does it mean if a pair of values works in both of jadas equations?
there is no solution
the items cost the same
the system has infinite solutions
there is one solution
question 6
fill in the values that solve leos system:
t =
and s =

Explanation:

Step1: Check Jada's system

Substitute \(t = 10\) and \(s=2\) into \(t + 2s\):
\(10+2\times2=10 + 4=14\)
Substitute \(t = 10\) and \(s = 2\) into \(2t+s\):
\(2\times10+2=20 + 2=22\)

Step2: Analyze meaning of pair in Jada's equations

A system of linear equations \(a_1x+b_1y=c_1\) and \(a_2x + b_2y=c_2\). If a pair \((x,y)\) satisfies both equations, for a system of two - variable linear equations (assuming non - parallel lines, which is the case here as the coefficients are not proportional: \(\frac{1}{2}
eq\frac{2}{1}\)), there is one solution.

Step3: Solve Leo's system

From \(t + s=13\), we have \(t=13 - s\).
Substitute \(t = 13 - s\) into \(2t+3s=34\):

$$
LATEXBLOCK0
$$

Substitute \(s = 8\) into \(t=13 - s\), then \(t=13-8 = 5\)

Answer:

Question 4: \(t = 10,s = 2\)
Question 5: There is one solution
Question 6: \(t = 5\) and \(s = 8\)