Equations and Their Solutions

• Yes, it makes the equation true.

• No, it makes the equation false.

• Wait, what's a solution?

Answer explanation

To check if p=2 is a solution, substitute 2 into the equation: 2(2) + 3 = 4 + 3 = 7, which is not equal to 9. Therefore, p=2 does not satisfy the equation, making the statement false.

• Yes, it makes the equation true.

• No, it makes the equation false.

• Wait, what's a solution?

Answer explanation

To check if x=1 is a solution, substitute 1 into the equation: 2(1) - 5 = 2 - 5 = -3, which does not equal 10. Therefore, x=1 is not a solution, making the statement false.

• Yes, it makes the equation true.

• No, it makes the equation false.

• Wait, what's a solution?

Answer explanation

To check if x=0 is a solution, substitute 0 into the equation: 3(0) - 4 = 2, which simplifies to -4 = 2. This is false, so x=0 is not a solution.

• Yes, it makes the equation true.

• No, it makes the equation false.

• Not sure, need to calculate.

Answer explanation

To check if y=5 is a solution, substitute 5 into the equation: 4(5) - 7 = 20 - 7 = 13. Since both sides equal 13, y=5 makes the equation true. Therefore, the answer is yes.

• Yes, they make the equation true.

• No, they make the equation false.

• Wait, there could be two numbers to test??

Answer explanation

To check if x=4 and y=3 are solutions, substitute into the equation: 2(4) - 3 = 8 - 3 = 5. Since this is true, the answer is Yes, they make the equation true.

• Yes, they make the equation true.

• No, they make the equation false.

• Wait, there could be two numbers to test??

Answer explanation

To check if x=2 and y=1 are solutions, substitute into the equation: 3(2) - 1 = 6 - 1 = 5, which does not equal 4. Therefore, they do not satisfy the equation, making the answer 'No, they make the equation false.'

Answer explanation

To find which equation does not have 6 as a solution, we can substitute 6 into each equation. For \( \frac{r}{3}=18 \), substituting gives \( \frac{6}{3}=2 \), which is false. Thus, this equation does not have 6 as a solution.

Tags

CCSS.6.EE.B.5

• yes

• no

Answer explanation

To check if m=13 is a solution, substitute m in the equation: 5 + 13 = 18. Since this is true, the answer is yes.

Tags

CCSS.6.EE.B.5

CCSS.6.EE.B.7

Answer explanation

To verify if y=6 is a solution: For 6y=36, substituting y gives 36=36. For \frac{18}{y}=3, substituting gives 3=3. For 2(y+3)=18, substituting gives 18=18. The equation y=3^2 gives 6=9, which is false.

Answer explanation

Only 3 is a solution because substituting it into the equation gives 7(3)=21. Substituting 14 gives 7(14)=98, which does not equal 21.