7 + m = 3 and 4 * l - 10 = - 6; => m = 7 - 3 => m = 4; 4 * l = 10 - 6 => 4 * l = 4 => l = 4 / 4 => l = 1.
the values of l and m that make each equation true are
m=-4 and l = 1
Given :
the given equation is** ( 7 + m ) + ( 4 l − 10 ) i = 3 − 6 i **
The given equations is in the form of a+ib where 'a' is the real part and 'b' is the imaginary part
Equate the real part and solve for m
( 7 + m ) + ( 4 l − 10 ) i = 3 − 6 i 7 + m = 3 m = 3 − 7 m = − 4
Now we equate the** imaginary part** and solve for 'l'
( 7 + m ) + ( 4 l − 10 ) i = 3 − 6 i 4 l − 10 = − 6 4 l = − 6 + 10 4 l = 4 d i v i d e b y 4 l = 1
So , the value of m=-4 and l=1
Learn more : brainly.com/question/5564133
The values that make the equation true are m = − 4 and l = 1 .
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