Algebra
Calculus
Trigonometry
Matrix
Question
Solve the equation
(a,b,c,d)=(−5,−3,6,5)
Evaluate
[a−14c]+[2db−3]=[13−34]×[0110]
Evaluate
[a+2−1+d4+bc−3]=[13−34]×[0110]
Multiply the terms
More Steps
Evaluate
[13−34]×[0110]
Multiply the terms
[1×0−3×13×0+4×11×1−3×03×1+4×0]
Evaluate
More Steps
Evaluate
1×0−3×1
Any expression multiplied by 0 equals 0
0−3×1
Any expression multiplied by 1 remains the same
0−3
Evaluate
−3
[−33×0+4×11×1−3×03×1+4×0]
Evaluate
More Steps
Evaluate
1×1−3×0
Any expression multiplied by 1 remains the same
1−3×0
Any expression multiplied by 0 equals 0
1+0
Evaluate
1
[−33×0+4×113×1+4×0]
Evaluate
More Steps
Evaluate
3×0+4×1
Any expression multiplied by 0 equals 0
0+4×1
Any expression multiplied by 1 remains the same
0+4
Evaluate
4
[−3413×1+4×0]
Evaluate
More Steps
Evaluate
3×1+4×0
Any expression multiplied by 1 remains the same
3+4×0
Any expression multiplied by 0 equals 0
3+0
Evaluate
3
[−3413]
[a+2−1+d4+bc−3]=[−3413]
Calculate
⎩⎨⎧a+2=−34+b=1−1+d=4c−3=3
Calculate
More Steps
Evaluate
a+2=−3
Move the constant to the right-hand side and change its sign
a=−3−2
Subtract the numbers
a=−5
⎩⎨⎧a=−54+b=1−1+d=4c−3=3
Calculate
More Steps
Evaluate
4+b=1
Move the constant to the right-hand side and change its sign
b=1−4
Subtract the numbers
b=−3
⎩⎨⎧a=−5b=−3−1+d=4c−3=3
Calculate
More Steps
Evaluate
−1+d=4
Move the constant to the right-hand side and change its sign
d=4+1
Add the numbers
d=5
⎩⎨⎧a=−5b=−3d=5c−3=3
Calculate
More Steps
Evaluate
c−3=3
Move the constant to the right-hand side and change its sign
c=3+3
Add the numbers
c=6
⎩⎨⎧a=−5b=−3d=5c=6
Find the intersection
⎩⎨⎧a=−5b=−3c=6d=5
Solution
(a,b,c,d)=(−5,−3,6,5)
Show Solution
