Solve the simultaneous equation 28x+32y=88 and 32x+28y=92

Solving for x. Want to solve for y instead?

1 Factor out the common term 44.

4(7x+8y)=884(7x+8y)=88

2 Divide both sides by 44.

7x+8y=\frac{88}{4}7x+8y=

4

88

3 Simplify \frac{88}{4}

4

88

to 2222.

7x+8y=227x+8y=22

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°