Question

2 truths and a lie! do now! identify the statements that are true and which is a lie: a. if ( x = -3 ), the value of ( y ) in the formula ( 2x + y = 7 ) is 13 b. if added ( -4y + 10y ) is ( 6y ) c. if subtracted ( 5x^2 - 5x ) is 0 explain why it is a lie:

Explanation:

Step1: Check statement a

Substitute $x=-3$ into $2x+y=13$:
$2(-3)+y=13$
$-6+y=13$
$y=13+6=19$
The statement claims $y=13$, which is false.

Step2: Check statement b

Combine like terms:
$-4y+10y=(-4+10)y=6y$
This matches the statement, so it is true.

Step3: Check statement c

Subtract $5x^2-5x$ from itself:
$5x^2-5x-(5x^2-5x)=5x^2-5x-5x^2+5x=0$
This matches the statement, so it is true.

Answer:

• True statements: b. If added $-4y + 10y$ is $6y$; c. If subtracted $5x^2 - 5x$ is 0
• Lie: a. If $x = -3$, the value of $y$ in the formula $2x + y = 7$ is 13
• Explanation: For statement a, substituting $x=-3$ gives $y=19$, not 13. Statements b and c are verified by combining like terms and performing subtraction correctly.