What is the first step in solving this system of equations by elimination? 5a + 3b = –9 2a – 5b = –16 a. subtract the two equations. b. add the two equations. c. solve for a. d. multiply the first equation by 2 and the second by –5.

Multiply the first equation by 2 and the second by

Step-by-step explanation:

To solve for a  and b we use elimination method

To eliminate variable 'a', we need to make the coefficient same but with different sign

So we multiply the first equation by 2 and second equation by

When we add both equations, the variable 'a' will get eliminated

Multiply the first equation by 2 and the second by

m∠cdf = 43° , m∠gdf = 114°, m∠gde = 23°, m∠edh = 23° , m∠cdh = 157°

step-by-step explanation:

since, it is given that de bisects the angle gdh ⇒ de divides the angle gdh into two equal angles.

⇒ m∠gde = m∠edh

⇒ 8·x   - 1 = 6·x + 5

⇒ x = 3

so, m∠gde = 8·x - 1 = 23°

and m∠edh = 23°

now, it is given ∠cde is an straight angle so, m∠cde = 180°

⇒ m∠cdf + m∠fdg + m∠gde = 180°

⇒ 43° + m∠fdg + 23° = 180°

⇒ m∠fdg = 114°

again, m∠cde = m∠cdh + m∠edh = 180°

m∠cdh + 23° = 180°

⇒ m∠cdh = 157°