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Dakota Osborn
Mathematics
4 July, 15:36
Solve each pair of equations by substituting
2x + y = 3
4x + 3y = 1
+2
Answers (
2
)
Jordon Farmer
4 July, 15:50
0
the value of x and y is 4 and - 5 respectively.
Step-by-step explanation:
from the equation we say let;
2x + y = 3 ... equation 1
4x + 3y = 1 ... equation 2
from equation 1
2x + y = 3 ... equation 1
y = 3 - 2x ... equation 3
Substitute for y in equation 2
4x + 3y = 1 ... equation 2
we have,
4x + 3 (3 - 2x) = 1
4x + 9 - 6x = 1
we have to collect the like terms
9-1 = 6x - 4x
8 = 2x
divide both sides by 2
8/2 = 2x/2
4 = x
therefore x = 4
put x = 4 in equation 3
y = 3 - 2x ... equation 3
y = 3 - 2 (4)
y = 3 - 8
y = - 5
therefore the value of x and y is 4 and - 5 respectively.
to check if your answer is correct, put the value of x and y in any of the equations.
2x + y = 3 ... equation 1
2 (4) + (-5) = 3
8 - 5 = 3
3 = 3 ... proved
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Laurel Steele
4 July, 15:56
0
Step: Solve
2
x
+
y
=
3
for y:
2
x
+
y
=
3
2
x
+
y
+
-
2
x
=
3
+
-
2
x
(Add - 2x to both sides)
y
=
-
2
x
+
3
Step: Substitute
-
2
x
+
3
for
y
in
4
x
+
3
y
=
1
:
4
x
+
3
y
=
1
4
x
+
3
(
-
2
x
+
3
)
=
1
-
2
x
+
9
=
1
(Simplify both sides of the equation)
-
2
x
+
9
+
-
9
=
1
+
-
9
(Add - 9 to both sides)
-
2
x
=
-
8
-
2
x
-
2
=
-
8
-
2
(Divide both sides by - 2)
x
=
4
Step: Substitute
4
for
x
in
y
=
-
2
x
+
3
:
y
=
-
2
x
+
3
y
=
(
-
2
)
(
4
)
+
3
y
=
-
5
(Simplify both sides of the equation)
Answer:
x
=
4
and
y
=
-
5
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