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1.	Oo a:(» ‘a= ?J»»g’ =Sa+2t+!o :€ Sotoh ०४०ol eol S
Answer» (a + b)x - 2by = 5a + 2b + 13x - y = 14 What we want is to make these the same lines, or rather, have one lie on top of the other. Let's solve each equation for y:(a + b)x - 2by = 5a + 2b + 12by = (a + b)x - 5a - 2b - 1y = (a + b)x/2b -5a/2b -1 - 1/2b m = (a + b)/2by-intercept = -5a/2b - 1 - 1/2b 3x - y = 14y = 3x - 14 m = 3y-intercept = -14 Set the slopes equal to each other:(a + b)/2b = 3a + b = 6ba = 5b Set the y-intercepts equal to each other:-14 = -5a/2b - 1 - 1/2b-28b = -5a - 2b - 1-26b = -5a - 1 Substitute a = 5b into equation:-26b = -5(5b) - 126b = 25b + 1b = 1 a = 5ba = 5 Like my answer if you find it useful!

Answer»

(a + b)x - 2by = 5a + 2b + 13x - y = 14

What we want is to make these the same lines, or rather, have one lie on top of the other.

Let's solve each equation for y:(a + b)x - 2by = 5a + 2b + 12by = (a + b)x - 5a - 2b - 1y = (a + b)x/2b -5a/2b -1 - 1/2b

m = (a + b)/2by-intercept = -5a/2b - 1 - 1/2b

3x - y = 14y = 3x - 14

m = 3y-intercept = -14

Set the slopes equal to each other:(a + b)/2b = 3a + b = 6ba = 5b

Set the y-intercepts equal to each other:-14 = -5a/2b - 1 - 1/2b-28b = -5a - 2b - 1-26b = -5a - 1

Substitute a = 5b into equation:-26b = -5(5b) - 126b = 25b + 1b = 1

a = 5ba = 5

Like my answer if you find it useful!

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