Question

problem cards
solve and swap directions: make o
group problems directions: make
card 1
select all ordered pairs that are solut
the equation $2x + 3y = 6$.
a. (0, 2)
b. (0, 6)
c. (2, 3)
d. (3, 0)
e. (6, -2)
card 3
write an equation for each line grap

Explanation:

Step1: Check Option A

Substitute \(x = 0\), \(y = 2\) into \(2x + 3y\): \(2(0)+3(2)=0 + 6=6\). Matches the equation.

Step2: Check Option B

Substitute \(x = 0\), \(y = 6\) into \(2x + 3y\): \(2(0)+3(6)=0 + 18 = 18
eq6\). Does not match.

Step3: Check Option C

Substitute \(x = 2\), \(y = 3\) into \(2x + 3y\): \(2(2)+3(3)=4 + 9 = 13
eq6\). Does not match.

Step4: Check Option D

Substitute \(x = 3\), \(y = 0\) into \(2x + 3y\): \(2(3)+3(0)=6 + 0 = 6\). Matches the equation.

Step5: Check Option E

Substitute \(x = 6\), \(y=- 2\) into \(2x + 3y\): \(2(6)+3(-2)=12-6 = 6\). Matches the equation.

Answer:

A. \((0, 2)\), D. \((3, 0)\), E. \((6, -2)\)