If 12x+3y=29 & 13x+12y= 21, find x+y & x-1
Answers
Answer:
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Step-by-step explanation:
Y
12x+3y=29,13x+12y=21
12x+3y=29,13x+12y=21
12x+3y=29,13x+12y=21
12x+3y=29,13x+12y=21
xx
12x+3y=29
12x+3y=29
3y
12x=-3y+29
12x=−3y+29
12
x=\frac{1}{12}\left(-3y+29\right)
x=
12
1
(−3y+29)
\frac{1}{12}\approx 0.083333333
-3y+29
x=-\frac{1}{4}y+\frac{29}{12}
x=−
4
1
y+
12
29
-\frac{y}{4}+\frac{29}{12}
x13x+12y=21
13\left(-\frac{1}{4}y+\frac{29}{12}\right)+12y=21
13(−
4
1
y+
12
29
)+12y=21
13-\frac{y}{4}+\frac{29}{12}
-\frac{13}{4}y+\frac{377}{12}+12y=21
−
4
13
y+
12
377
+12y=21
-\frac{13y}{4}
12y
\frac{35}{4}y+\frac{377}{12}=21
4
35
y+
12
377
=21
\frac{377}{12}\approx 31.416666667
\frac{35}{4}y=-\frac{125}{12}
4
35
y=−
12
125
\frac{35}{4}=8.75
y=-\frac{25}{21}
y=−
21
25
-\frac{25}{21}\approx -1.19047619
yx=-\frac{1}{4}y+\frac{29}{12}
x
x=-\frac{1}{4}\left(-\frac{25}{21}\right)+\frac{29}{12}
x=−
4
1
(−
21
25
)+
12
29
-\frac{1}{4}=-0.25
-\frac{25}{21}\approx -1.19047619
x=\frac{25}{84}+\frac{29}{12}
x=
84
25
+
12
29
\frac{29}{12}\approx 2.416666667
\frac{25}{84}\approx 0.297619048
x=\frac{19}{7}
x=
7
19
x=\frac{19}{7},y=-\frac{25}{21}
x=
7
19
,y=−
21
25
is true